TITLE

Gorenstein projective dimensions of complexes

AUTHOR(S)
Liu, Zhong; Zhang, Chun
PUB. DATE
July 2011
SOURCE
Acta Mathematica Sinica;Jul2011, Vol. 27 Issue 7, p1395
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We show that over a right coherent left perfect ring R, a complex C of left R-modules is Gorenstein projective if and only if C is Gorenstein projective in R-Mod for all m ∈ ℤ. Basing on this we show that if R is a right coherent left perfect ring then Gpd( C) = sup{Gpd( C)| m ∈ ℤ} where Gpd(−) denotes Gorenstein projective dimension.
ACCESSION #
61079820

 

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