Cohen-Macaulay dimension for modules over a commutative ring has been defined by AA
Gerko. That is a homological invariant sharing many properties with projective dimension …

We introduce a refinement of the Gorenstein flat dimension for complexes over an
associative ring—the Gorenstein flat-cotorsion dimension—and prove that it, unlike the …

The local structure of homomorphisms of commutative noetherian rings is investigated from
the point of view of dualizing complexes. A concept of finite Gorenstein dimension, which …

In this article, we establish, as a generalization of a result on the classical homological
dimensions of commutative rings, an upper bound on the Gorenstein global dimension of …

We consider the following question: Is Gorenstein homology a X-pure homology, in the
sense defined by Warfield, for a class X of modules? Let GP denote the class of Gorenstein …

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

We give an exposition and generalization of Orlov's theorem on graded Gorenstein rings.
We show the theorem holds for nonnegatively graded rings that are Gorenstein in an …

In this paper, we study certain properties of modules of finite Gorenstein projective, injective
and flat dimensions. We examine conditions which imply that all Gorenstein projective …

Let R be a commutative ring. We show that any complete duality pair gives rise to a theory of
relative homological algebra, analogous to Gorenstein homological algebra. Indeed …

We introduce and investigate the notion of 𝐺𝐶-projective modules over (possibly non-
Noetherian) commutative rings, where 𝐶 is a semidualizing module. This extends Holm and …