Let A be an Artin algebra, M be a Gorenstein projective A-module and B= End AM. We give
a characterization of modules on B and show that if A is Ω 2-representation-finite, then B is …

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 …

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 …

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 …

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 …

Gorenstein‐projective module is an important research topic in relative homological algebra,
representation theory of algebras, triangulated categories, and algebraic geometry …

Let A be an artin algebra. An A-module M will be said to be semi-Gorenstein-projective
provided that Ext i (M, A)= 0 for all i≥ 1. All Gorenstein-projective modules are semi …

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 …

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 …

Let A be an artin algebra of finite CM-type. In this paper, we show that if A is virtually
Gorenstein, then the homotopy category of Gorenstein projective A- modules, denote K(A …