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

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

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

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 …

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 …

Abstract Let R⊂ S be a Frobenius extension of rings and M an S-complex. It is proven that if
the Gorenstein projective (injective) dimension of M as an S-complex is finite, then the …

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

arXiv:2301.01903v1 [math.RT] 5 Jan 2023 Page 1 arXiv:2301.01903v1 [math.RT] 5 Jan 2023
k-TORSIONFREE MODULES AND FROBENIUS EXTENSIONS ZHIBING ZHAO Abstract. Let …

We establish relations of Gorenstein homological properties of modules and rings linked by
a fixed quasi-Frobenius bimodule. Particularly, let R ⊂ SR⊂ S be a strongly separable …