Trivial Extensions of Local Rings and a Conjecture of Costa

Simple item page
dc.creatorKabbaj, S.
dc.creatorMahdou, N.
dc.date2006-06-27
dc.date.accessioned2026-07-07T07:17:45Z
dc.date.available2026-07-07T07:17:45Z
dc.descriptionThis paper partly settles a conjecture of Costa on (n,d)-rings, i.e., rings in which n-presented modules have projective dimension at most d. For this purpose, a theorem studies the transfer of the (n,d)-property to trivial extensions of local rings by their residue fields. It concludes with a brief discussion -backed by original examples- of the scopes and limits of our results.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0606694
dc.identifierhttp://arxiv.org/abs/math/0606694
dc.identifierLecture Notes in Pure and Applied in Mathematics - Dekker 231 (2002) 301-311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114056
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13D05; 13B02
dc.titleTrivial Extensions of Local Rings and a Conjecture of Costa
dc.typetext

Files

Collections

arXiv