We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …

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 study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …

The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …

We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …

We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …

Let R be a ring. A left R-module M is called GI-injective if for any Gorenstein injective left R-
module N. It is shown that a left R-module M over any ring R is GI-injective if and only if M is …

Given a complete hereditary cotorsion pair-Gorenstein projective modules and study its
stability properties. As applications, we first get two model structures related to Gorenstein …

In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …

作为环的Frobenius 扩张的非平凡推广, B. Muller 引入了环的右(左) 拟Frobenius 扩张.
本文通过建立凝聚环和它的右拟Frobenius 扩张的Gorenstein 平坦模的联系 …