On Ext-indices of ring extensions

Simple item page
dc.creatorNasseh, Saeed
dc.creatorYoshino, Yuji
dc.date2007-12-18
dc.date.accessioned2026-07-07T08:49:50Z
dc.date.available2026-07-07T08:49:50Z
dc.descriptionIn this paper we are concerned with the finiteness property of Ext-indices of several ring extensions. In this direction, we introduce some conjectures and discuss the relationship of them. Also we give affirmative answers to these conjectures in some special cases. Furthermore, we prove that the trivial extension of an Artinian local ring by its residue class field is always of finite Ext-index and we show that the Auslander-Reiten conjecture is true for this type of rings.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0712.2866
dc.identifierhttp://arxiv.org/abs/0712.2866
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144446
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13C10, 13D07, 16E30
dc.titleOn Ext-indices of ring extensions
dc.typetext

Files

Collections

arXiv