We find sufficient and necessary conditions for the category of Gorenstein projective
modules of an artin algebra being an abelian category, and give another proof for the …

The main objective of this paper is to study the relative derived categories from various
points of view. Let A be an abelian category and C be a contravariantly finite subcategory of …

Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext i
(M, A)= 0 for all i≥ 1. If M is Gorenstein-projective, then both M and its A-dual M∗ are semi …

We introduce a notion of generalized Serre duality on a Hom-finite Krull–Schmidt
triangulated category T. This duality induces the generalized Serre functor on T, which is a …

An artin algebra A is said to be CM-finite if there are only finitely many, up to isomorphisms,
indecomposable finitely generated Gorenstein-projective A-modules. We prove that for a …

An Artin algebra is by definition virtually Gorenstein if the class of modules which are right
orthogonal (with respect to $\operatorname {Ext}^*(-,-) $) to all Gorenstein projective …

Abstract Let A, A′, and A ″be artin algebras. We prove that if there is a recollement of the
bounded Gorenstein derived category DG (P (Mod A)) b (Mod A) relative to the bounded …

Let RR be an Artin algebra. Under certain Auslander‐type conditions, we give some
equivalent characterizations of (weakly) Gorenstein algebras in terms of the properties of …

In this paper, we introduce and study (weak) pure-injective Gorenstein projective modules.
Let R be an Artin algebra. We prove that the category of weak pure-injective Gorenstein …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …