Gorenstein syzygy modules

JOURNAL OF ALGEBRA

卷:324

Article

Huang, Chonghui^1,2  Huang, Zhaoyong¹ 

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Univ S China, Res Inst Math, Hengyang 421001, Peoples R China

关键词: Gorenstein projective modules;    Gorenstein n syzygy modules;    n syzygy modules;    Gorenstein projective dimension;    Gorenstein transpose;   

DOI  :  10.1016/j.jalgebra.2010.10.010

来源: Elsevier

【 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

【 授权许可】

Free