Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

In this paper, we introduce the notion of C-Gorenstein weak injective modules with respect to
a semidualizing bimodule S CR, where R and S are arbitrary associative rings. We show …

Let R be a commutative Noetherian ring and C a semidualizing R-module. We obtain an
exact structure (ℋ C, 𝜀) and prove that the full subcategory ℋ C∩ 𝒢 ℱ C of ℋ C is a …

Abstract Let 𝒱, 𝒲, 𝒴, 𝒳 be four classes of modules. We introduce a notion of (𝒱, 𝒲, 𝒴, 𝒳)-
Gorenstein modules which unifies a number of well-known Gorenstein modules. Under …

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 …

Recently, Hu et al. introduced the notion of Gorenstein FP-injective modules and
investigated a notion of Gorenstein FP-injective dimension for complexes. Let R be a left …