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- W1555106904 abstract "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 $ngeq 1$ and $mgeq 0$. 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 $Moplus G$ 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." @default.
- W1555106904 created "2016-06-24" @default.
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- W1555106904 date "2009-07-11" @default.
- W1555106904 modified "2023-09-27" @default.
- W1555106904 title "(n,m)-Strongly Gorenstein Projective Modules" @default.
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