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 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 …

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 …

Let Λ and Γ be artin algebras and Λ U Γ a faithfully balanced selforthogonal bimodule. In this
paper, we first introduce the notion of k-Gorenstein modules with respect to Λ U Γ and then …

Let A be an Artin algebra and e an idempotent element in A. In this paper, we use co-
homological conditions on A to control the finitistic dimension of eAe. Such a consideration …

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 …

X-Gorenstein Projective Modules Page 1 International Scholarly Research Network ISRN
Algebra Volume 2011, Article ID 270814, 10 pages doi:10.5402/2011/270814 Research Article …

The main purpose of this article is to present some applications of the notion of Gorenstein
injective dimension of complexes over an associative ring. Among the applications, we give …

In this article, we investigate the Gorenstein global dimension with respect to the
recollements of abelian categories. With the invariants spli and silp of the categories, we …

Let Λ be an Artin algebra with a unique non-injective indecomposable projective module. In
this situation, Marczinzik conjectured that the dominant dimension of Λ agrees with its …