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

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

2009-04-20

arxiv.org/abs/0904.3045v3

Mathematics

Rings and Algebras

20 pages. It has been accepted for publication in Communications in Algebra. Question 3.19 in the first version has been answe

Scientific paper

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.

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