Given a homomorphism of commutative noetherian rings R→ S and an S-module N, it is
proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally …

Full article: Gorenstein Injective and Gorenstein Flat Dimensions Under Base Change Skip to
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In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R. For
an R-module M, we show that Gorenstein projective dimension of M is finite if and only if …

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 m is Gorenstein projective in R-Mod for all m∈ ℤ …

Let R be a left and right Noetherian ring. We introduce the notion of the torsionfree
dimension of finitely generated R-modules. For any n≧0, we prove that R is a Gorenstein …

In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …

arXiv:0903.5013v2 [math.AC] 5 Nov 2009 Page 1 arXiv:0903.5013v2 [math.AC] 5 Nov 2009
GORENSTEIN GLOBAL DIMENSION OF AN AMALGAMATED DUPLICATION OF A COHERENT …

The study of global dimension of pullback rings has been subject of several interesting
works and has been served to solve many open problems. In this paper, we attempt to …

For any group G and any commutative ring R, the Gorenstein homological dimension
GhdRG, defined as the Gorenstein flat dimension of the trivial RG-module R, is …

Let R be a ring. A right R-module M is called GI-flat if TorR 1 (M, G)= 0 for every Gorenstein
injective left R-module G. It is shown that GI-flat modules lie strictly between flat modules and …