Let $ A $ be an Artin algebra, $ M $ be a Gorenstein projective $ A $-module and $ B= $ End
$ _A M $, then $ M $ is a $ A $-$ B $-bimodule. We use the restricted flat dimension of …

Let A be an artin algebra, M be a 𝒲-Gorenstein A-module and B= End AM, then M is a AB-
bimodule. We use the restricted flat dimension of MB and the finitistic 𝒲-dimension of A to …

Let $ A $ be a virtually Gorenstein algebra of finite CM-type. We establish a duality between
the subcategory of compact objects in the homotopy category of Gorenstein projective left …

Over an artin algebra Λ, for an additive subbifunctor F of with enough projectives and
injectives, we introduce F-Gorenstein dimensions in this paper. The new relative dimensions …

Given a two-sided noetherian ring $ A $ with a dualizing complex, we show that the big
finitistic dimension of $ A $ is finite if and only if every bounded below Gorenstein-projective …

We prove that a finite dimensional algebra $ A $ with representation-finite subcategory
consisting of modules that are semi-Gorenstein-projective and $ n $-th syzygy modules is …

Let 𝒜 be an abelian category. In this paper, we investigate the global (𝒳, 𝒴)-Gorenstein
projective dimension gl. GPD (𝒳, 𝒴)(𝒜), associated to a GP-admissible pair (𝒳, 𝒴). We give …

Let 𝒜 be an abelian category and (𝒳, 𝒴) a pair of classes of objects in 𝒜. Inspired by
Bouchiba's work on generalized Gorenstein projective modules, we give a new way of …

Throughout this paper, if not specified otherwise, R denotes an associative ring with identity
and all modules are unital left R-modules. Every result given for left modules has a …

It is a well-known result of Auslander and Reiten that contravariant finiteness of the class P∞
fin (of finitely generated modules of finite projective dimension) over an Artin algebra is a …