We determine all the Gorenstein-projective modules over the T2-extension of a Gorenstein
algebra, and over (AM0B), where A and B are self-injective algebras, and M is an AB …

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 …

Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

For $\Lambda $ a selfinjective algebra, and $ Q $ a finite quiver without oriented cycles, the
algebra $\Lambda Q $ is a Gorenstein algebra and the category ${\rm Gproj}\Lambda Q $ of …

In this paper, we study the relative homological dimension based on the class of projectively
coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and …

Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

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 …

Absolutely clean and level R-modules were introduced in and used to show how Gorenstein
homological algebra can be extended to an arbitrary ring R. This led to the notion of …

Let Δ 0, 0= AANBBMAB be a Morita ring such that the bimodule homomorphisms are zero. In
this paper, we give sufficient conditions for a Δ (0, 0)‐module (X, Y, f, g) to be Gorenstein …