Let $ G $ be a group and $ R $ be a ring. We define the Gorenstein homological dimension
of $ G $ over $ R $, denoted by ${\rm Ghd} _ {R} G $, as the Gorenstein flat dimension of …

We prove that a certain eventually homological isomorphism between module categories
induces triangle equivalences between their singularity categories, Gorenstein defect …

For any group $ G $, the Gorenstein homological dimension ${\rm Ghd} _RG $ is defined to
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …

First we study the Gorenstein cohomological dimension ${\rm Gcd} _RG $ of groups $ G $
over coefficient rings $ R $, under changes of groups and rings; a characterization for …

Let $ B\subseteq A $ be an extension of finite dimensional algebras. We provide a sufficient
condition for the existence of triangle equivalences of singularity categories (resp …

Let $\varphi\colon R\rightarrow A $ be a ring homomorphism, where $ R $ is a commutative
noetherian ring and $ A $ is a finite $ R $-algebra. We give criteria for detecting the ascent …

For a regular normal element in an arbitrary ring, we study the category of its module
factorizations. The cokernel functor relates module factorizations with Gorenstein projective …

Full article: Triangle equivalences of Gorenstein defect categories induced by homological
epimorphisms Skip to Main Content Taylor and Francis Online homepage Browse Search …

Module factorizations with two factors of a regular normal element in a ring are newly
introduced by Xiao-Wu Chen. In the paper, we introduce n-fold module factorizations, that is …

Owing to the difference in K-theory, an example by Dugger and Shipley implies that the
equivalence of stable categories of Gorenstein projective modules should not be a Quillen …