On the structure theory of the Iwasawa algebra of a p-adic Lie group
| dc.creator | Venjakob, Otmar | |
| dc.date | 2001-06-08 | |
| dc.date.accessioned | 2026-07-07T04:42:25Z | |
| dc.date.available | 2026-07-07T04:42:25Z | |
| dc.description | This paper is lead by the question whether there is a nice structure theory of finitely generated modules over the Iwasawa algebra, i.e. the completed group algebra, R of a p-adic analytic group G. For G without any p-torsion element we prove that R is an Auslander regular ring. This result enables us to give a good definition for pseudo-null R-modules. Then the category of R-modules up to pseudo-isomorphisms is studied and we obtain a weak structure theorem for the p-primary part of a finitely generated R-module. A local duality theorem as well as the Auslander-Buchsbaum equality are further main issues. The arithmetic applications to the Iwasawa theory of abelian varieties are published elsewhere. | |
| dc.identifier | https://arxiv.org/abs/math/0106269 | |
| dc.identifier | http://arxiv.org/abs/math/0106269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61771 | |
| dc.subject | Number Theory | |
| dc.title | On the structure theory of the Iwasawa algebra of a p-adic Lie group | |
| dc.type | text |