It was proved by Beligiannis and Krause that over certain Artin algebras, there are
Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective …

We give counterexamples to the following conjecture of Auslander: given a finitely
generated module M over an Artin algebra Λ, there exists a positive integer nM such that for …

Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has
finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope …

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 …

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 …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …

We study Artin algebras Λ and commutative Noetherian complete local rings R in connection
with the following decomposition property of Gorenstein-projective modules: We show that …

A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

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 …

In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …