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

Gorenstein homological algebra is a kind of relative homological algebra which has been
developed to a high level since more than four decades. In this report we review the basic …

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

An Artin algebra A is said to be CM-finite if there are only finitely many isomorphism classes
of indecomposable finitely generated Gorenstein-projective A-modules. Inspired by …

Given an artin algebra $\Lambda $ with an idempotent element $ a $ we compare the
algebras $\Lambda $ and $ a\Lambda a $ with respect to Gorensteinness, singularity …

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 …

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 …

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 …

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 …