Under semi-weak and weak compatibility conditions of bimodules, we establish necessary
and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with …

In this paper, we construct some model structures corresponding Gorenstein (ℒ, 𝒜)-modules
and relative Gorenstein flat modules associated to duality pairs, Frobenius pairs and …

We study homological aspects of Gorenstein flat modules over a ring with respect to a
duality pair (L, A). These modules are defined as cycles of exact chain complexes with …

Full article: Gorenstein projective modules via total complexes Skip to Main Content Taylor and
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We introduce the notion of Gorenstein star modules and obtain some properties and a
characterization of them. We mainly give the relationship between n-Gorenstein star …

In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …

The study of rings and modules with homological criteria is a cornerstone of commutative
algebra. Let $ R $ be a commutative Noetherian ring with identity (not necessarily local) and …

In the recent paper" The Nakayama functor and its completion for Gorenstein algebras", a
class of Gorenstein algebras over commutative noetherian rings was introduced, and duality …

Kyoji Saito's notion of a free divisor was generalized by the first author to reduced
Gorenstein spaces and by Delphine Pol to reduced Cohen-Macaulay spaces. Starting point …