Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …

We study some homological properties of Gorenstein FP∞-injective modules, and we prove
(1) a ring R is not necessarily coherent if every Gorenstein FP∞-injective R-module is …

Let $ G $ be a finite group acting on a ring $ R $ and $ H $ a subgroup of $ G $. In this paper
we compare some homological dimensions over the skew group rings $ RG $ and $ RH …

Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

Let R be a domain. It is proved that if wG-gldim (R)<∞, then the class of finitely generated G-
flat modules and the class of finitely generated G-projective modules coincide. It is also …