Gorenstein syzygy modules

[摘要] For any ring R and any positive integer n we prove that a left R-module is a Gorenstein n-syzygy if and only if it is an n-syzygy Over a left and right Noetherian ring we introduce the notion of the Gorenstein transpose of finitely generated modules We prove that a module M E mod R P is a Gorenstein transpose of a module A E mod R if and only if M can be embedded into a transpose of A with the cokernel Gorenstein projective Some applications of this result are given (C) 2010 Elsevier Inc All rights reserved

[发布日期] 2010-12-15

[关键词] Gorenstein projective modules;Gorenstein n syzygy modules;n syzygy modules;Gorenstein projective dimension;Gorenstein transpose