For a local commutative Gorenstein ring R, Enochs et al. in [Gorenstein projective
resolvents, Comm. Algebra 44 (2016) 3989–4000] defined a functor Ext^ n R (−,−) and …

Let R be a local commutative n-Gorenstein ring. The existence of the Gorenstein projective
preenvelopes for finite R-modules is known (it was proved using duality arguments). In the …

Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …

Over any associative ring $ R $ it is standard to derive $\mathrm {Hom} _R (-,-) $ using
projective resolutions in the first variable, or injective resolutions in the second variable, and …

Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …

We define and study a notion of Gorenstein projective dimension for complexes of left
modules over associative rings. For complexes of finite Gorenstein projective dimension we …

Duality properties are studied for a Gorenstein algebra that is finite and projective over its
center. Using the homotopy category of injective modules, it is proved that there is a local …

Let (S; n) be a commutative noetherian local ring and let w in n be non-zero divisor. This
paper is concerned with the two categories of monomorphisms between finitely generated …

The aim of this article is to consider the spectral sequences induced by tensor-hom
adjunction, and provide a number of new results. Let R be a commutative Noetherian local …

Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …