$n$-Strongly Gorenstein Projective, Injective and Flat modules

Guoqiang Zhao; Zhaoyong Huang

$n$-Strongly Gorenstein Projective, Injective and Flat modules

Rings and Algebras 2010-05-25 v3

Authors: Guoqiang Zhao , Zhaoyong Huang

Abstract

In this paper, we study the relation between $m$ -strongly Gorenstein projective (resp. injective) modules and $n$ -strongly Gorenstein projective (resp. injective) modules whenever $m \neq n$ , and the homological behavior of $n$ -strongly Gorenstein projective (resp. injective) modules. We introduce the notion of $n$ -strongly Gorenstein flat modules. Then we study the homological behavior of $n$ -strongly Gorenstein flat modules, and the relation between these modules and $n$ -strongly Gorenstein projective (resp. injective) modules.

Keywords

gorenstein rings and modules module theory

Cite

@article{arxiv.0904.3045,
  title  = {$n$-Strongly Gorenstein Projective, Injective and Flat modules},
  author = {Guoqiang Zhao and Zhaoyong Huang},
  journal= {arXiv preprint arXiv:0904.3045},
  year   = {2010}
}

Comments

20 pages. It has been accepted for publication in Communications in Algebra. Question 3.19 in the first version has been answered negatively in Proposition 3.15(1) in the current version. To make the paper more compact, all the dual parts on the $n$-strongly Gorenstein injective modules in Section 3 have been omitted

$n$-Strongly Gorenstein Projective, Injective and Flat modules

Abstract

Keywords

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