Ext-finite modules were introduced and studied by Enochs and Jenda. We prove under
some conditions that the depth of a local ring is equal to the sum of the Gorenstein injective …

We prove that if the Frobenius functor F (from the category of left R-modules to the category
of left S-modules) is faithful, then for any R-module X, the Gorenstein flat dimension of X is …

In this paper we characterize the relative Gorenstein weak global dimension of the
generalized Gorenstein $\mathrm {FP} _n $-flat $ R $-modules and Projective Coresolved …

In this paper, we study injective dimension and Gorenstein injective dimension over local
ring homomorphisms. Some well-known results are generalized. For example, the Bass …

Let R be a commutative noetherian henselian non-Gorenstein local ring of depth zero.
Denote by mod R the category of all finitely generated R-modules, and by the full …

In this paper we assume that $ R $ is a Gorenstein Noetherian ring. We show that if
$(R,\mathfrak {m}) $ is also a local ring with Krull dimension $ d $ that is less than or equal 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 …

A Bass Formula for Gorenstein Injective Dimension Page 1 Communications in Algebra®, 35:
1882–1889, 2007 Copyright © Taylor & Francis Group, LLC ISSN: 0092-7872 print/1532-4125 …

This article is a continuous work of, where the coauthors introduced the notion of 𝒢-FP-
injective R-modules. In this article, we define a notion of 𝒢-FP-injective dimension for …

In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …