Mittag-Leffler conditions on modules
Angeleri Hügel, Lidia (Universit'a degli Studi dell'Insubria. Dipartimento di Informatica e Comunicazione)
Herbera i Espinal, Dolors (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Data: |
2008 |
Resum: |
We study Mittag-Leffler conditions on modules providing relative versions of classical results by Raynaud and Gruson. We then apply our investigations to several contexts. First of all, we give a new argument for solving the Baer splitting problem. Moreover, we show that modules arising in cotorsion pairs satisfy certain Mittag-Leffler conditions. In particular, this implies that tilting modules satisfy a useful finiteness condition over their endomorphism ring. In the final section, we focus on a special tilting cotorsion pair related to the pure-semisimplicity conjecture. |
Drets: |
Tots els drets reservats. |
Llengua: |
Anglès |
Document: |
Article ; Versió publicada |
Matèria: |
Mittag-Leffler inverse system ;
Cotorsion pairs ;
Tilting modules ;
Baer |
Publicat a: |
Indiana University mathematics journal, Vol. 57, No. 5 (2008) , p. 2459-2517, ISSN 0022-2518 |
DOI: 10.1512/iumj.2008.57.3325
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