We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …

In basic homological algebra, the projective, injective and flat dimensions of modules play
an important and fundamental role. In this paper, the closely related Gorenstein projective …

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 …

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This paper investigates the relation between the almost Gorenstein properties for graded
rings and for local rings. Once R is an almost Gorenstein graded ring, the localization RM of …

G sub n hyphen coherent rings in various ways comma using G sub n hyphen flat comma G
sub n hyphen injective modules and cotorsion theory period 1 period.. Introduction A ring R …

In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

In [1] a generalization of the classical Auslander-Buchsbaum formula is made. Namely, if R
is a noetherian local commutative ring and M is an Λ-module of finite Gorenstein dimension …

We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …

Gorenstein dimension and torsion of modules over commutative noetherian rings Page 1
COMMUNICATIONS IN ALGEBRA, 28(l2), 5783-58 1 1 (2000) GORENSTEIN DIMENSION …