Characteristic ideals and Iwasawa theory
Bandini, Andrea (Università degli Studi di Parma. Dipartimento di Matematica e Informatica (Italy))
Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Longhi, Ignazio (Xi'an Jiaotong-Liver-pool University. Department of Mathematical Sciences (China))

Data:	2014
Resum:	Let Λ be a nonnoetherian Krull domain which is the inverse limit of noetherian Krull domains Λd and let M be a finitely generated Λ-module which is the inverse limit of Λd-modules Md. Under certain hypotheses on the rings Λd and on the modules Md, we define a pro-characteristic ideal for M in Λ, which should play the role of the usual characteristic ideals for finitely generated modules over noetherian Krull domains. We apply this to the study of Iwasawa modules (in particular of class groups) in a nonnoetherian Iwasawa algebra Zp[[Gal(F/F)]], where F is a function field of characteristic p and Gal(F/F) -~ Zp∞.
Ajuts:	Ministerio de Economía y Competitividad MTM2013-40680-P
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Characteristic ideals ; Iwasawa theory ; Krull rings ; Class groups
Publicat a:	New York Journal of Mathematics, Vol. 20 (2014) , p. 759-778, ISSN 1076-9803

Adreça alternativa: http://nyjm.albany.edu/j/2014/20-38.html

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