(n,m)-Strongly Gorenstein Projective Modules

Details (n,m)-Strongly Gorenstein Projective Modules (n,m)-Strongly Gorenstein Projective Modules

2009-07-11

arxiv.org/abs/0907.1993v1

Mathematics

Rings and Algebras

to appear in International Electronic Journal of Algebra

Scientific paper

This paper is a continuation of the papers J. Pure Appl. Algebra, 210 (2007), 437--445 and J. Algebra Appl., 8 (2009), 219--227. Namely, we introduce and study a doubly filtered set of classes of modules of finite Gorenstein projective dimension, which are called $(n,m)$-strongly Gorenstein projective ($(n,m)$-SG-projective for short) for integers $n\geq 1$ and $m\geq 0$. We are mainly interested in studying syzygies of these modules. As consequences, we show that a module $M$ has Gorenstein projective dimension at most $m$ if and only if $M\oplus G$ is $(1,m)$-SG-projective for some Gorenstein projective module $G$. And, over rings of finite left finitistic flat dimension, that a module of finite Gorenstein projective dimension has finite projective dimension if and only if it has finite flat dimension.

Affiliated with

Also associated with

No associations

Rating

(n,m)-Strongly Gorenstein Projective Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with (n,m)-Strongly Gorenstein Projective Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and (n,m)-Strongly Gorenstein Projective Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593321