288520f33d127d8242ddc75cd404893f  1-s2.0-s0021869324006148-main.pdf
e96c6a33a6190b987a20153cf24738469cfe593d  1-s2.0-s0021869324006148-main.pdf
050cad21afb6a49361bc65f249166696795c11edfcca49a715e0f1b5852fcadb  1-s2.0-s0021869324006148-main.pdf

Title:           Regular ring properties degraded through inverse limits
Subject:         Journal of Algebra, 664 (2025) 365–397. 10.1016/j.jalgebra.2024.11.006
Author:          Pere Ara
Creator:         Elsevier
Producer:        Acrobat Distiller 24.0 (Windows)
CreationDate:    Wed Dec  4 08:39:54 2024 CET
ModDate:         Wed Dec  4 08:39:54 2024 CET
Custom Metadata: yes
Metadata Stream: yes
Tagged:          yes
UserProperties:  no
Suspects:        no
Form:            none
JavaScript:      no
Pages:           33
Encrypted:       no
Page size:       467.717 x 680.315 pts
Page rot:        0
File size:       593632 bytes
Optimized:       yes
PDF version:     1.7


name                                 type              encoding         emb sub uni object ID
------------------------------------ ----------------- ---------------- --- --- --- ---------
IOGDJO+LMRoman7-Regular              Type 1C           Custom           yes yes yes   1003  0
IOGEAE+LMRoman7-Italic               Type 1C           Custom           yes yes yes   1016  0
IOGEAF+LMRomanCaps10-Regular         Type 1C           Custom           yes yes yes   1040  0
IOGDLO+LMSans8-Regular               Type 1C           Custom           yes yes yes   1006  0
IOGDLP+LMRoman12-Regular             Type 1C           Custom           yes yes yes   1007  0
IOGDMA+Helvetica                     Type 1C           WinAnsi          yes yes no    1008  0
IOGDPA+LMRoman17-Regular             Type 1C           Custom           yes yes yes   1017  0
IOGDPB+LMRoman8-Regular              Type 1C           Custom           yes yes yes   1018  0
IOGDPC+LMMathItalic8-Regular         Type 1C           Custom           yes yes yes   1022  0
IOGEAC+LMMathSymbols8-Regular        Type 1C           Custom           yes yes yes   1019  0
IOGEAD+LMRoman5-Regular              Type 1C           Custom           yes yes yes   1020  0
IOGECG+LMRoman10-Regular             Type 1C           Custom           yes yes yes    304  0
IOGECH+LMMathItalic10-Regular        Type 1C           Custom           yes yes yes    293  0
IOGECI+LMMathSymbols10-Regular       Type 1C           Custom           yes yes yes    305  0
IOGECJ+LMMathItalic7-Regular         Type 1C           Custom           yes yes yes    288  0
IOGECK+LMMathSymbols7-Regular        Type 1C           Custom           yes yes yes    296  0
IOGECL+LMRoman10-Italic              Type 1C           Custom           yes yes yes    316  0
IOGEDL+LMRomanDemi10-Regular         Type 1C           Custom           yes yes yes    318  0
IOGEFM+MT2HRBT                       Type 1C           WinAnsi          yes yes no     322  0
IOGEGM+LMMathItalic5-Regular         Type 1C           Custom           yes yes yes    332  0
IOGEGN+LMMathExtension10-Regular     Type 1C           Custom           yes yes yes    330  0
IOGEGO+MT2HRBS                       Type 1C           WinAnsi          yes yes no     325  0
IOGEKO+wasy10                        Type 1C           Custom           yes yes no     337  0
IOGFGK+MSAM10                        Type 1C           Custom           yes yes no     342  0
IOGFJK+LMRoman10-Bold                Type 1C           Custom           yes yes yes    348  0
IOGGCI+LMMathSymbols5-Regular        Type 1C           Custom           yes yes yes    353  0
IOGGFI+EUFM10                        Type 1C           Custom           yes yes yes    355  0
IOGGKH+MSBM10                        Type 1C           Custom           yes yes yes    359  0
IOGHEE+LMRoman6-Regular              Type 1C           Custom           yes yes yes    362  0
IOGHEF+LMMathSymbols6-Regular        Type 1C           Custom           yes yes yes    364  0


Jhove (Rel. 1.28.0, 2023-05-18)
 Date: 2025-01-23 02:38:32 CET
 RepresentationInformation: 1-s2.0-s0021869324006148-main.pdf
  ReportingModule: PDF-hul, Rel. 1.12.4 (2023-03-16)
  LastModified: 2025-01-17 17:52:47 CET
  Size: 593632
  Format: PDF
  Version: 1.7
  Status: Well-Formed and valid
  SignatureMatches:
   PDF-hul
  MIMEtype: application/pdf
  Profile: Linearized PDF
  PDFMetadata: 
   Objects: 1085
   FreeObjects: 400
   IncrementalUpdates: 1
   DocumentCatalog: 
    PageLayout: SinglePage
    PageMode: UseOutlines
    Language: en
    Outlines: 
     Item: 
      Title: Regular ring properties degraded through inverse limits
      Destination: yjabr19838.title.0:1
      Children: 
       Item: 
        Title: 1 Separativity
        Destination: yjabr19838.section.1:2
       Item: 
        Title: 2 The basics of inverse limits
        Destination: yjabr19838.section.2:3
       Item: 
        Title: 3 A variety setting
        Destination: yjabr19838.section.3:4
       Item: 
        Title: 4 Constructions where properties are degraded
        Destination: yjabr19838.section.4:5
       Item: 
        Title: 5 Some positive results
        Destination: yjabr19838.section.5:16
       Item: 
        Title: 6 Inverse limits of associated monoids
        Destination: yjabr19838.section.6:28
       Item: 
        Title: 7 An instructive example
        Destination: yjabr19838.section.7:37
       Item: 
        Title: 8 An intermediate step
        Destination: yjabr19838.section.8:43
       Item: 
        Title: Acknowledgments
        Destination: yjabr19838.section.8:45
       Item: 
        Title: Data availability
        Destination: yjabr19838.section.8:46
       Item: 
        Title: References
        Destination: yjabr19838.section.8:47
   Info: 
    Title: Regular ring properties degraded through inverse limits
    Author: Pere Ara
    Subject: Journal of Algebra, 664 (2025) 365 397. 10.1016/j.jalgebra.2024.11.006
    Creator: Elsevier
    Producer: Acrobat Distiller 24.0 (Windows)
    CreationDate: Wed Dec 04 08:39:54 CET 2024
    ModDate: Wed Dec 04 08:39:54 CET 2024
   ID: 0x6dbd715c0bebd810251ab695a603b5dc, 0xf13e5b3a752ab14cb3c9282972820c02
   Filters: 
    FilterPipeline: FlateDecode
    FilterPipeline: DCTDecode
   Images: 
    Image: 
     NisoImageMetadata: 
      FormatName: image/jpg
      CompressionScheme: JPEG
      ImageWidth: 246
      ImageHeight: 272
      ColorSpace: RGB
      BitsPerSample: 8
      BitsPerSampleUnit: integer
    Image: 
     NisoImageMetadata: 
      FormatName: image/jpg
      CompressionScheme: JPEG
      ImageWidth: 236
      ImageHeight: 298
      ColorSpace: RGB
      BitsPerSample: 8
      BitsPerSampleUnit: integer
   Fonts: 
    Type1: 
     Font: 
      BaseFont: IOGEFM+MT2HRBT
      FontSubset: true
      FirstChar: 67
      LastChar: 90
      FontDescriptor: 
       FontName: IOGEFM+MT2HRBT
       Flags: Serif, Nonsymbolic
       FontBBox: -75, -287, 1121, 777
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: IOGEGO+MT2HRBS
      FontSubset: true
      FirstChar: 90
      LastChar: 90
      FontDescriptor: 
       FontName: IOGEGO+MT2HRBS
       Flags: Serif, Nonsymbolic
       FontBBox: -75, -264, 1236, 826
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: IOGEGN+LMMathExtension10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 35
      FontDescriptor: 
       FontName: IOGEGN+LMMathExtension10-Regular
       Flags: Symbolic
       FontBBox: -5, -2959, 1387, 744
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEGM+LMMathItalic5-Regular
      FontSubset: true
      FirstChar: 62
      LastChar: 115
      FontDescriptor: 
       FontName: IOGEGM+LMMathItalic5-Regular
       Flags: Symbolic, Italic
       FontBBox: 0, -250, 1349, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEAF+LMRomanCaps10-Regular
      FontSubset: true
      FirstChar: 97
      LastChar: 116
      FontDescriptor: 
       FontName: IOGEAF+LMRomanCaps10-Regular
       Flags: Serif, Symbolic
       FontBBox: -496, -290, 1501, 1100
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEKO+wasy10
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: IOGEKO+wasy10
       Flags: Symbolic
       FontBBox: -23, -1667, 1720, 752
       FontFile3: true
      EncodingDictionary: 
       Differences: true
     Font: 
      BaseFont: IOGFGK+MSAM10
      FontSubset: true
      FirstChar: 2
      LastChar: 3
      FontDescriptor: 
       FontName: IOGFGK+MSAM10
       Flags: Symbolic
       FontBBox: 7, -463, 1331, 1003
       FontFile3: true
      EncodingDictionary: 
       Differences: true
     Font: 
      BaseFont: IOGFJK+LMRoman10-Bold
      FontSubset: true
      FirstChar: 77
      LastChar: 111
      FontDescriptor: 
       FontName: IOGFJK+LMRoman10-Bold
       Flags: Serif, Symbolic
       FontBBox: -486, -295, 1607, 1133
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGECJ+LMMathItalic7-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 119
      FontDescriptor: 
       FontName: IOGECJ+LMMathItalic7-Regular
       Flags: Symbolic, Italic
       FontBBox: -1, -250, 1171, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGGCI+LMMathSymbols5-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 3
      FontDescriptor: 
       FontName: IOGGCI+LMMathSymbols5-Regular
       Flags: Symbolic, Italic
       FontBBox: 0, -944, 1448, 791
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGGFI+EUFM10
      FontSubset: true
      FirstChar: 109
      LastChar: 109
      FontDescriptor: 
       FontName: IOGGFI+EUFM10
       Flags: Serif, Symbolic
       FontBBox: -28, -257, 1055, 741
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGECH+LMMathItalic10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 181
      FontDescriptor: 
       FontName: IOGECH+LMMathItalic10-Regular
       Flags: Symbolic, Italic
       FontBBox: -32, -250, 1048, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGGKH+MSBM10
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: IOGGKH+MSBM10
       Flags: Symbolic
       FontBBox: 55, 31, 721, 468
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGECK+LMMathSymbols7-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 138
      FontDescriptor: 
       FontName: IOGECK+LMMathSymbols7-Regular
       Flags: Symbolic, Italic
       FontBBox: -15, -951, 1252, 782
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGHEE+LMRoman6-Regular
      FontSubset: true
      FirstChar: 49
      LastChar: 49
      FontDescriptor: 
       FontName: IOGHEE+LMRoman6-Regular
       Flags: Serif, Symbolic
       FontBBox: -515, -298, 1647, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDJO+LMRoman7-Regular
      FontSubset: true
      FirstChar: 40
      LastChar: 169
      FontDescriptor: 
       FontName: IOGDJO+LMRoman7-Regular
       Flags: Serif, Symbolic
       FontBBox: -483, -292, 1562, 1124
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGHEF+LMMathSymbols6-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: IOGHEF+LMMathSymbols6-Regular
       Flags: Symbolic, Italic
       FontBBox: -4, -948, 1329, 786
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDLO+LMSans8-Regular
      FontSubset: true
      FirstChar: 46
      LastChar: 119
      FontDescriptor: 
       FontName: IOGDLO+LMSans8-Regular
       Flags: Symbolic
       FontBBox: -446, -314, 1510, 1154
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDLP+LMRoman12-Regular
      FontSubset: true
      FirstChar: 44
      LastChar: 144
      FontDescriptor: 
       FontName: IOGDLP+LMRoman12-Regular
       Flags: Serif, Symbolic
       FontBBox: -422, -280, 1394, 1127
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDMA+Helvetica
      FontSubset: true
      FirstChar: 32
      LastChar: 32
      FontDescriptor: 
       FontName: IOGDMA+Helvetica
       Flags: Nonsymbolic
       FontBBox: -166, -225, 1000, 931
       FontFile3: true
      Encoding: WinAnsiEncoding
     Font: 
      BaseFont: IOGECG+LMRoman10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 243
      FontDescriptor: 
       FontName: IOGECG+LMRoman10-Regular
       Flags: Serif, Symbolic
       FontBBox: -430, -290, 1417, 1127
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGECI+LMMathSymbols10-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 215
      FontDescriptor: 
       FontName: IOGECI+LMMathSymbols10-Regular
       Flags: Symbolic, Italic
       FontBBox: -29, -960, 1116, 775
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEAE+LMRoman7-Italic
      FontSubset: true
      FirstChar: 40
      LastChar: 242
      FontDescriptor: 
       FontName: IOGEAE+LMRoman7-Italic
       Flags: Symbolic, Italic
       FontBBox: -528, -292, 1571, 1123
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDPA+LMRoman17-Regular
      FontSubset: true
      FirstChar: 82
      LastChar: 118
      FontDescriptor: 
       FontName: IOGDPA+LMRoman17-Regular
       Flags: Serif, Symbolic
       FontBBox: -400, -286, 1338, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDPB+LMRoman8-Regular
      FontSubset: true
      FirstChar: 40
      LastChar: 232
      FontDescriptor: 
       FontName: IOGDPB+LMRoman8-Regular
       Flags: Serif, Symbolic
       FontBBox: -456, -292, 1497, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEAC+LMMathSymbols8-Regular
      FontSubset: true
      FirstChar: 2
      LastChar: 2
      FontDescriptor: 
       FontName: IOGEAC+LMMathSymbols8-Regular
       Flags: Symbolic, Italic
       FontBBox: -30, -955, 1185, 779
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEAD+LMRoman5-Regular
      FontSubset: true
      FirstChar: 43
      LastChar: 101
      FontDescriptor: 
       FontName: IOGEAD+LMRoman5-Regular
       Flags: Serif, Symbolic
       FontBBox: -566, -303, 1772, 1126
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGECL+LMRoman10-Italic
      FontSubset: true
      FirstChar: 40
      LastChar: 147
      FontDescriptor: 
       FontName: IOGECL+LMRoman10-Italic
       Flags: Symbolic, Italic
       FontBBox: -458, -290, 1386, 1125
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGDPC+LMMathItalic8-Regular
      FontSubset: true
      FirstChar: 44
      LastChar: 75
      FontDescriptor: 
       FontName: IOGDPC+LMMathItalic8-Regular
       Flags: Symbolic, Italic
       FontBBox: -24, -250, 1110, 750
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
     Font: 
      BaseFont: IOGEDL+LMRomanDemi10-Regular
      FontSubset: true
      FirstChar: 46
      LastChar: 147
      FontDescriptor: 
       FontName: IOGEDL+LMRomanDemi10-Regular
       Flags: Serif, Symbolic
       FontBBox: -442, -295, 1406, 1136
       FontFile3: true
      EncodingDictionary: 
       Differences: true
      ToUnicode: true
   XMP: <x:xmpmeta xmlns:x="adobe:ns:meta/" x:xmptk="Adobe XMP Core 9.1-c001 79.675d0f7, 2023/06/11-19:21:16        ">
   <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about=""
            xmlns:tdm="http://www.w3.org/ns/tdmrep/"
            xmlns:dc="http://purl.org/dc/elements/1.1/"
            xmlns:prism="http://prismstandard.org/namespaces/basic/3.0/"
            xmlns:crossmark="http://crossref.org/crossmark/1.0/"
            xmlns:jav="http://www.niso.org/schemas/jav/1.0/"
            xmlns:pdfx="http://ns.adobe.com/pdfx/1.3/"
            xmlns:xmp="http://ns.adobe.com/xap/1.0/"
            xmlns:xmpRights="http://ns.adobe.com/xap/1.0/rights/"
            xmlns:pdf="http://ns.adobe.com/pdf/1.3/"
            xmlns:xmpMM="http://ns.adobe.com/xap/1.0/mm/"
            xmlns:ali="http://www.niso.org/schemas/ali/1.0/">
         <tdm:reservation>1</tdm:reservation>
         <tdm:policy>https://www.elsevier.com/tdm/tdmrep-policy.json</tdm:policy>
         <dc:format>application/pdf</dc:format>
         <dc:identifier>doi:10.1016/j.jalgebra.2024.11.006</dc:identifier>
         <dc:title>
            <rdf:Alt>
               <rdf:li xml:lang="x-default">Regular ring properties degraded through inverse limits</rdf:li>
            </rdf:Alt>
         </dc:title>
         <dc:creator>
            <rdf:Seq>
               <rdf:li>Pere Ara</rdf:li>
               <rdf:li>Ken Goodearl</rdf:li>
               <rdf:li>Kevin C. O'Meara</rdf:li>
               <rdf:li>Enrique Pardo</rdf:li>
               <rdf:li>Francesc Perera</rdf:li>
            </rdf:Seq>
         </dc:creator>
         <dc:subject>
            <rdf:Bag>
               <rdf:li>Exchange rings</rdf:li>
               <rdf:li>Inverse limit</rdf:li>
               <rdf:li>Regular rings</rdf:li>
               <rdf:li>Refinement</rdf:li>
               <rdf:li>(Strong) separativity</rdf:li>
            </rdf:Bag>
         </dc:subject>
         <dc:description>
            <rdf:Alt>
               <rdf:li xml:lang="x-default">Journal of Algebra, 664 (2025) 365–397. 10.1016/j.jalgebra.2024.11.006</rdf:li>
            </rdf:Alt>
         </dc:description>
         <dc:publisher>
            <rdf:Bag>
               <rdf:li>Elsevier Inc.</rdf:li>
            </rdf:Bag>
         </dc:publisher>
         <prism:aggregationType>journal</prism:aggregationType>
         <prism:publicationName>Journal of Algebra</prism:publicationName>
         <prism:copyright>© 2024 The Author(s). Published by Elsevier Inc.</prism:copyright>
         <prism:issn>0021-8693</prism:issn>
         <prism:volume>664</prism:volume>
         <prism:pageRange>365-397</prism:pageRange>
         <prism:startingPage>365</prism:startingPage>
         <prism:endingPage>397</prism:endingPage>
         <prism:doi>10.1016/j.jalgebra.2024.11.006</prism:doi>
         <prism:url>https://doi.org/10.1016/j.jalgebra.2024.11.006</prism:url>
         <prism:coverDate>2025-02-15</prism:coverDate>
         <prism:coverDisplayDate>15 February 2025</prism:coverDisplayDate>
         <prism:issueIdentifier>Part B</prism:issueIdentifier>
         <crossmark:MajorVersionDate>2010-04-23</crossmark:MajorVersionDate>
         <crossmark:CrossmarkDomainExclusive>true</crossmark:CrossmarkDomainExclusive>
         <crossmark:DOI>10.1016/j.jalgebra.2024.11.006</crossmark:DOI>
         <crossmark:CrossMarkDomains>
            <rdf:Seq>
               <rdf:li>elsevier.com</rdf:li>
               <rdf:li>sciencedirect.com</rdf:li>
            </rdf:Seq>
         </crossmark:CrossMarkDomains>
         <jav:journal_article_version>VoR</jav:journal_article_version>
         <pdfx:doi>10.1016/j.jalgebra.2024.11.006</pdfx:doi>
         <pdfx:robots>noindex</pdfx:robots>
         <pdfx:CrossmarkMajorVersionDate>2010-04-23</pdfx:CrossmarkMajorVersionDate>
         <pdfx:CrossmarkDomainExclusive>true</pdfx:CrossmarkDomainExclusive>
         <Zlkjsz9r8y9_-ogyGz.f_nLNNnMaNlwiQn9iGy9v.m.qLogn-y9qMo9eQmM2KmMiMotmTma/>  
         <pdfx:CrossMarkDomains>
            <rdf:Seq>
               <rdf:li>elsevier.com</rdf:li>
               <rdf:li>sciencedirect.com</rdf:li>
            </rdf:Seq>
         </pdfx:CrossMarkDomains>
         <xmp:CreatorTool>Elsevier</xmp:CreatorTool>
         <xmp:ModifyDate>2024-12-04T09:39:54+02:00</xmp:ModifyDate>
         <xmp:CreateDate>2024-12-04T09:39:54+02:00</xmp:CreateDate>
         <xmp:MetadataDate>2024-12-04T09:39:54+02:00</xmp:MetadataDate>
         <xmpRights:Marked>True</xmpRights:Marked>
         <pdf:Producer>Acrobat Distiller 24.0 (Windows)</pdf:Producer>
         <xmpMM:DocumentID>uuid:68abefa0-e73f-4bfc-8acb-2fd63c300323</xmpMM:DocumentID>
         <xmpMM:InstanceID>uuid:eed8458d-22f3-406c-8db8-b4f8294925e3</xmpMM:InstanceID>
         <ali:license_ref>
            <rdf:Bag>
               <rdf:li rdf:parseType="Resource">
                  <ali:uri>http://creativecommons.org/licenses/by/4.0/</ali:uri>
               </rdf:li>
            </rdf:Bag>
         </ali:license_ref>
      </rdf:Description>
   </rdf:RDF>
</x:xmpmeta>
   Pages: 
    Page: 
     Label: 365
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: URI link to https://doi.org/10.1016/j.jalgebra.2024.11.006
       Rect: 175, 636, 314, 643
      Annotation: 
       Subtype: Link
       Contents: URI link to http://www.ScienceDirect.com/
       Rect: 269, 601, 317, 609
      Annotation: 
       Subtype: Link
       Contents: URI link to http://www.elsevier.com/locate/jalgebra
       Rect: 220, 545, 340, 553
      Annotation: 
       Subtype: Link
       Contents: URI link to http://crossmark.crossref.org/dialog/?doi=10.1016/j.jalgebra.2024.11.006&domain=pdf
       Rect: 378, 472, 408, 486
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressa0.label
       Rect: 96, 451, 101, 461
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressb0.label
       Rect: 103, 451, 108, 461
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressc0.label
       Rect: 182, 451, 187, 461
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressd0.label
       Rect: 281, 451, 287, 461
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination corthanks.label
       Rect: 288, 451, 293, 461
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addresse0.label
       Rect: 123, 438, 127, 448
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressa0.label
       Rect: 209, 438, 215, 448
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: Link to named destination addressb0.label
       Rect: 216, 438, 221, 448
       Destination: 946
      Annotation: 
       Subtype: Link
       Contents: URI link to http://creativecommons.org/licenses/by/4.0/
       Rect: 409, 236, 436, 244
      Annotation: 
       Subtype: Link
       Contents: URI link to http://creativecommons.org/licenses/by/4.0/
       Rect: 288, 226, 430, 234
      Annotation: 
       Subtype: Link
       Contents: URI link to mailto:pere.ara@uab.cat
       Rect: 134, 116, 195, 123
      Annotation: 
       Subtype: Link
       Contents: URI link to mailto:goodearl@math.ucsb.edu
       Rect: 233, 116, 322, 123
      Annotation: 
       Subtype: Link
       Contents: URI link to mailto:staf198@uclive.ac.nz
       Rect: 53, 107, 126, 114
      Annotation: 
       Subtype: Link
       Contents: URI link to mailto:enrique.pardo@uca.es
       Rect: 191, 107, 268, 114
      Annotation: 
       Subtype: Link
       Contents: URI link to mailto:francesc.perera@uab.cat
       Rect: 315, 107, 401, 114
      Annotation: 
       Subtype: Link
       Contents: URI link to https://mat.uab.cat/web/perera
       Rect: 89, 89, 205, 96
      Annotation: 
       Subtype: Link
       Contents: URI link to https://doi.org/10.1016/j.jalgebra.2024.11.006
       Rect: 53, 70, 220, 77
      Annotation: 
       Subtype: Link
       Contents: URI link to http://creativecommons.org/licenses/by/4.0/
       Rect: 97, 53, 260, 60
    Page: 
     Label: 366
     Sequence: 2
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec1.label
       Rect: 259, 280, 265, 289
       Destination: 1
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Section:InverseLimits.label
       Rect: 309, 253, 315, 262
       Destination: 12
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec3.label
       Rect: 172, 239, 178, 248
       Destination: 21
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec4.label
       Rect: 135, 199, 141, 208
       Destination: 32
      Annotation: 
       Subtype: Link
       Contents: Link to named destination S:positive.label
       Rect: 332, 199, 338, 208
       Destination: 60
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec6.label
       Rect: 187, 186, 193, 195
       Destination: 101
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec7.label
       Rect: 82, 159, 88, 168
       Destination: 143
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Section:FinalThoughts.label
       Rect: 67, 119, 73, 128
       Destination: 197
    Page: 
     Label: 367
     Sequence: 3
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 426, 525, 433, 533
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 180, 257, 187, 265
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP2
       Rect: 196, 257, 203, 265
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOR
       Rect: 233, 257, 245, 265
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.GBbook
       Rect: 372, 94, 384, 102
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BasicAlgebra
       Rect: 184, 81, 196, 89
       Destination: 222
    Page: 
     Label: 368
     Sequence: 4
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination P:Inj.label
       Rect: 396, 308, 410, 317
       Destination: 53
    Page: 
     Label: 369
     Sequence: 5
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGNPP
       Rect: 424, 325, 431, 333
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGNPP
       Rect: 424, 285, 431, 293
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGNPP
       Rect: 66, 244, 73, 252
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGNPP
       Rect: 233, 217, 240, 225
       Destination: 222
    Page: 
     Label: 370
     Sequence: 6
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.VNRR
       Rect: 333, 565, 345, 573
       Destination: 222
    Page: 
     Label: 371
     Sequence: 7
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOR
       Rect: 69, 311, 81, 319
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_reg_VTEX1.label
       Rect: 219, 283, 233, 292
       Destination: 32
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.VNRR
       Rect: 126, 162, 138, 171
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.O2
       Rect: 210, 122, 222, 130
       Destination: 276
    Page: 
     Label: 372
     Sequence: 8
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.O2
       Rect: 253, 565, 265, 573
       Destination: 276
    Page: 
     Label: 373
     Sequence: 9
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.O2
       Rect: 112, 605, 124, 613
       Destination: 276
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_reg_VTEX1.label
       Rect: 247, 522, 260, 531
       Destination: 32
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_unit_regular_VTEX1.label
       Rect: 382, 66, 396, 75
       Destination: 36
    Page: 
     Label: 374
     Sequence: 10
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_unit_regular_VTEX1.label
       Rect: 143, 428, 157, 437
       Destination: 36
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.MeMo
       Rect: 152, 352, 164, 360
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_reg_VTEX1.label
       Rect: 297, 311, 311, 320
       Destination: 32
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 113, 144, 120, 152
       Destination: 222
    Page: 
     Label: 375
     Sequence: 11
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination P:Inj.label
       Rect: 246, 402, 260, 411
       Destination: 53
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BergmanInjectives
       Rect: 177, 389, 189, 397
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BM
       Rect: 257, 294, 269, 302
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.VNRR
       Rect: 361, 294, 373, 302
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.Bac
       Rect: 307, 280, 319, 288
       Destination: 222
    Page: 
     Label: 376
     Sequence: 12
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination L:Lifting.label
       Rect: 81, 487, 95, 496
       Destination: 60
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.PP
       Rect: 336, 448, 348, 456
       Destination: 276
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 173, 421, 187, 430
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:weak_lifting_exchange_VTEX1.label
       Rect: 409, 408, 423, 417
       Destination: 135
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.A2010
       Rect: 258, 318, 265, 326
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq**.label
       Rect: 348, 174, 359, 183
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq**.label
       Rect: 416, 93, 427, 102
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination L:Lifting.label
       Rect: 348, 66, 361, 75
       Destination: 60
    Page: 
     Label: 377
     Sequence: 13
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 175, 604, 190, 613
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 210, 397, 224, 406
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.Groth
       Rect: 194, 358, 206, 366
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.PP
       Rect: 421, 358, 433, 366
       Destination: 276
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_unit_regular_VTEX1.label
       Rect: 112, 224, 126, 233
       Destination: 36
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 182, 224, 196, 233
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination prop5.6.label
       Rect: 163, 146, 177, 155
       Destination: 79
      Annotation: 
       Subtype: Link
       Contents: Link to named destination P:Inj.label
       Rect: 325, 146, 338, 155
       Destination: 53
      Annotation: 
       Subtype: Link
       Contents: Link to named destination f.d..label
       Rect: 195, 93, 208, 102
       Destination: 79
    Page: 
     Label: 378
     Sequence: 14
    Page: 
     Label: 379
     Sequence: 15
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination f.d..label
       Rect: 317, 310, 331, 319
       Destination: 79
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.Kap
       Rect: 186, 257, 198, 265
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BP
       Rect: 246, 108, 258, 116
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 346, 54, 353, 62
       Destination: 222
    Page: 
     Label: 380
     Sequence: 16
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BergmanDicks
       Rect: 291, 242, 303, 250
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.BasicAlgebra
       Rect: 108, 134, 120, 142
       Destination: 222
    Page: 
     Label: 381
     Sequence: 17
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.M
       Rect: 258, 252, 270, 260
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.GoodearlUnpublished
       Rect: 127, 186, 140, 194
       Destination: 222
    Page: 
     Label: 382
     Sequence: 18
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.Bac
       Rect: 152, 304, 164, 312
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.GoodearlUnpublished
       Rect: 110, 279, 122, 287
       Destination: 222
    Page: 
     Label: 383
     Sequence: 19
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Lemma:LiftIsosUnitReg.label
       Rect: 409, 552, 423, 561
       Destination: 106
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Lemma:LiftIsosUnitReg.label
       Rect: 317, 381, 331, 390
       Destination: 106
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 283, 264, 297, 273
       Destination: 111
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_unit_regular_VTEX1.label
       Rect: 138, 251, 151, 260
       Destination: 36
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec7.label
       Rect: 88, 197, 94, 206
       Destination: 143
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 107, 132, 120, 141
       Destination: 111
    Page: 
     Label: 384
     Sequence: 20
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 322, 564, 336, 573
       Destination: 111
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Prop:MatrixUnitCornerLifting.label
       Rect: 305, 376, 319, 385
       Destination: 125
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:weak_lifting_VTEX1.label
       Rect: 255, 188, 269, 197
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination C:SepSurjective.label
       Rect: 363, 188, 376, 197
       Destination: 125
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:weak_lifting_VTEX1.label
       Rect: 201, 161, 215, 170
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:weak_lifting_exchange_VTEX1.label
       Rect: 117, 147, 131, 156
       Destination: 135
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOR
       Rect: 64, 67, 76, 75
       Destination: 222
    Page: 
     Label: 385
     Sequence: 21
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOR
       Rect: 278, 444, 290, 452
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.Perera
       Rect: 361, 223, 373, 231
       Destination: 276
      Annotation: 
       Subtype: Link
       Contents: Link to named destination P:LiftSepExch.label
       Rect: 138, 105, 152, 114
       Destination: 135
      Annotation: 
       Subtype: Link
       Contents: Link to named destination C:SepSurjective.label
       Rect: 218, 105, 232, 114
       Destination: 125
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGNOPP
       Rect: 160, 81, 167, 89
       Destination: 222
    Page: 
     Label: 386
     Sequence: 22
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 179, 537, 193, 546
       Destination: 111
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AG12
       Rect: 341, 525, 348, 533
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AG12
       Rect: 99, 511, 106, 519
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AAM
       Rect: 310, 511, 317, 519
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AG12
       Rect: 118, 459, 125, 467
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AG12
       Rect: 353, 405, 360, 413
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AG12
       Rect: 296, 379, 303, 387
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 315, 353, 322, 361
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABPS
       Rect: 372, 353, 379, 361
       Destination: 222
    Page: 
     Label: 387
     Sequence: 23
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 344, 187, 351, 195
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 257, 106, 264, 114
       Destination: 222
    Page: 
     Label: 388
     Sequence: 24
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 77, 578, 84, 586
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 220, 404, 227, 412
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 276, 391, 283, 399
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.A2010
       Rect: 365, 391, 372, 399
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:third.label
       Rect: 103, 218, 109, 227
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.ABP
       Rect: 224, 219, 231, 227
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:fourth.label
       Rect: 408, 218, 414, 227
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:third.label
       Rect: 339, 153, 345, 162
       Destination: 160
    Page: 
     Label: 389
     Sequence: 25
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:Qreg.label
       Rect: 242, 414, 256, 423
       Destination: 155
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 278, 414, 291, 423
       Destination: 68
    Page: 
     Label: 390
     Sequence: 26
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:second.label
       Rect: 192, 275, 198, 284
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:third.label
       Rect: 211, 275, 217, 284
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination eq:second.label
       Rect: 66, 81, 72, 90
       Destination: 160
    Page: 
     Label: 391
     Sequence: 27
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination lem:invariant-by-conjugation.label
       Rect: 242, 271, 256, 280
       Destination: 176
      Annotation: 
       Subtype: Link
       Contents: Link to named destination lem:invariant-by-conjugation.label
       Rect: 373, 195, 387, 204
       Destination: 176
    Page: 
     Label: 392
     Sequence: 28
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:Qreg.label
       Rect: 226, 559, 240, 568
       Destination: 155
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:surjective.label
       Rect: 373, 79, 387, 88
       Destination: 68
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 394, 66, 408, 75
       Destination: 111
    Page: 
     Label: 393
     Sequence: 29
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination E:Pere.label
       Rect: 169, 431, 182, 440
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Prop:MatrixUnitCornerLifting.label
       Rect: 422, 431, 436, 440
       Destination: 125
      Annotation: 
       Subtype: Link
       Contents: Link to named destination T:Qreg.label
       Rect: 123, 380, 137, 389
       Destination: 155
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Thm:VInvLimit.label
       Rect: 211, 366, 225, 375
       Destination: 111
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 121, 300, 128, 308
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination E:Pere.label
       Rect: 94, 259, 108, 268
       Destination: 160
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 207, 54, 214, 62
       Destination: 222
    Page: 
     Label: 394
     Sequence: 30
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.AGOP1
       Rect: 49, 592, 56, 600
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination SSP.label
       Rect: 305, 511, 319, 520
       Destination: 207
      Annotation: 
       Subtype: Link
       Contents: Link to named destination Constr:not_unit_regular_VTEX1.label
       Rect: 317, 430, 330, 439
       Destination: 36
      Annotation: 
       Subtype: Link
       Contents: Link to named destination con4.7.label
       Rect: 304, 376, 318, 385
       Destination: 53
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.O1
       Rect: 295, 283, 307, 291
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.GMM
       Rect: 236, 269, 248, 277
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.GMM
       Rect: 155, 135, 167, 143
       Destination: 222
      Annotation: 
       Subtype: Link
       Contents: Link to named destination cite.APP
       Rect: 179, 67, 191, 75
       Destination: 222
    Page: 
     Label: 395
     Sequence: 31
     Annotations: 
      Annotation: 
       Subtype: Link
       Contents: Link to named destination sec4.label
       Rect: 195, 577, 201, 586
       Destination: 32
    Page: 
     Label: 396
     Sequence: 32
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 64, 526, 430, 532
      Annotation: 
       Subtype: Link
       Rect: 64, 517, 171, 523
      Annotation: 
       Subtype: Link
       Rect: 64, 506, 430, 514
      Annotation: 
       Subtype: Link
       Rect: 64, 497, 430, 503
      Annotation: 
       Subtype: Link
       Rect: 64, 487, 267, 495
      Annotation: 
       Subtype: Link
       Rect: 64, 478, 430, 484
      Annotation: 
       Subtype: Link
       Rect: 64, 467, 334, 475
      Annotation: 
       Subtype: Link
       Rect: 64, 439, 430, 445
      Annotation: 
       Subtype: Link
       Rect: 64, 429, 174, 437
      Annotation: 
       Subtype: Link
       Rect: 64, 420, 430, 426
      Annotation: 
       Subtype: Link
       Rect: 64, 410, 430, 418
      Annotation: 
       Subtype: Link
       Rect: 64, 401, 372, 407
      Annotation: 
       Subtype: Link
       Rect: 64, 391, 430, 397
      Annotation: 
       Subtype: Link
       Rect: 64, 381, 317, 389
      Annotation: 
       Subtype: Link
       Rect: 64, 372, 430, 378
      Annotation: 
       Subtype: Link
       Rect: 64, 361, 271, 369
      Annotation: 
       Subtype: Link
       Rect: 64, 353, 430, 359
      Annotation: 
       Subtype: Link
       Rect: 64, 342, 333, 350
      Annotation: 
       Subtype: Link
       Rect: 64, 333, 430, 339
      Annotation: 
       Subtype: Link
       Rect: 64, 323, 268, 331
      Annotation: 
       Subtype: Link
       Rect: 64, 314, 430, 320
      Annotation: 
       Subtype: Link
       Rect: 64, 304, 174, 312
      Annotation: 
       Subtype: Link
       Rect: 64, 295, 430, 301
      Annotation: 
       Subtype: Link
       Rect: 64, 285, 235, 291
      Annotation: 
       Subtype: Link
       Rect: 64, 275, 430, 283
      Annotation: 
       Subtype: Link
       Rect: 64, 266, 156, 272
      Annotation: 
       Subtype: Link
       Rect: 64, 256, 430, 262
      Annotation: 
       Subtype: Link
       Rect: 64, 246, 195, 254
      Annotation: 
       Subtype: Link
       Rect: 64, 236, 430, 244
      Annotation: 
       Subtype: Link
       Rect: 64, 228, 113, 233
      Annotation: 
       Subtype: Link
       Rect: 64, 218, 430, 224
      Annotation: 
       Subtype: Link
       Rect: 64, 207, 199, 215
      Annotation: 
       Subtype: Link
       Rect: 64, 198, 430, 204
      Annotation: 
       Subtype: Link
       Rect: 64, 189, 187, 195
      Annotation: 
       Subtype: Link
       Rect: 64, 168, 430, 176
      Annotation: 
       Subtype: Link
       Rect: 64, 159, 174, 167
      Annotation: 
       Subtype: Link
       Rect: 64, 150, 430, 158
      Annotation: 
       Subtype: Link
       Rect: 64, 140, 366, 149
      Annotation: 
       Subtype: Link
       Rect: 64, 131, 430, 137
      Annotation: 
       Subtype: Link
       Rect: 64, 122, 96, 127
      Annotation: 
       Subtype: Link
       Rect: 64, 111, 430, 118
      Annotation: 
       Subtype: Link
       Rect: 64, 102, 430, 108
      Annotation: 
       Subtype: Link
       Rect: 64, 93, 113, 98
      Annotation: 
       Subtype: Link
       Rect: 64, 82, 430, 89
      Annotation: 
       Subtype: Link
       Rect: 64, 73, 135, 79
      Annotation: 
       Subtype: Link
       Rect: 64, 62, 430, 70
      Annotation: 
       Subtype: Link
       Rect: 64, 53, 174, 61
    Page: 
     Label: 397
     Sequence: 33
     Annotations: 
      Annotation: 
       Subtype: Link
       Rect: 70, 604, 435, 612
      Annotation: 
       Subtype: Link
       Rect: 70, 595, 188, 603
      Annotation: 
       Subtype: Link
       Rect: 70, 586, 435, 592
      Annotation: 
       Subtype: Link
       Rect: 70, 575, 227, 583
      Annotation: 
       Subtype: Link
       Rect: 70, 567, 435, 573
      Annotation: 
       Subtype: Link
       Rect: 70, 556, 242, 564
  Checksum: 1c422ac5
   Type: CRC32
  Checksum: 288520f33d127d8242ddc75cd404893f
   Type: MD5
  Checksum: e96c6a33a6190b987a20153cf24738469cfe593d
   Type: SHA-1
  Checksum: 050cad21afb6a49361bc65f249166696795c11edfcca49a715e0f1b5852fcadb
   Type: SHA-256