In this paper, we introduce and study a notion of Gorenstein AC-injective dimension for
complexes of left modules over associative rings. We show first that the class of complexes …

We study complete cohomology of complexes with finite Gorenstein AC-projective
dimension. We show first that the class of complexes admitting a complete level resolution is …

Recently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules
was introduced in by which the so-called “Gorenstein AC-homological algebra” was …

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 define and study a notion of strongly Gorenstein flat dimensions for
complexes of left modules over associative rings. In particular, we consider the class of …

We define a notion of Gorenstein flat dimension for unbounded complexes over left GF-
closed rings. Over Gorenstein rings we introduce a notion of Gorenstein cohomology for …

Let be an ideal of ad-dimensional Gorenstein ring $ R $ and let $ M $ be an $ R $-module of
finite projective dimension. In this paper, among the other things, we show that, for every $ R …

We define and study the notions of restricted Tor-dimension and Ext-dimension for
unbounded complexes of left modules over associative rings. We show that, for a right …

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 …

We define and study a notion of Gorenstein projective dimension for complexes of left
modules over associative rings. For complexes of finite Gorenstein projective dimension we …