For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

Let R be a ring and n, k two non-negative integers. In this paper, we introduce the concepts
of n-weak injective and n-weak flat modules and via the notion of special super finitely …

In this paper, we construct some non-integrally closed domains in Gorenstein multiplicative
ideal theory. For example, we show that there exists a Gorenstein Prüfer domain which is …

Let R be a commutative ring. An R-module M is said to be super finitely presented if there is
an exact sequence of R-modules where each P i is finitely generated projective. In this …

Let R be a ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

The present article studies homological and homotopical aspects of FP n-injective and FP n-
flat complexes, and describes homological dimensions associated to them. After …

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 …

For an integer N≥ 2 and three subcategories 𝒲, 𝒳, 𝒴 of modules, we study the notion of (𝒲,
𝒳, 𝒴)-Gorenstein N-complexes. We show that under certain hypotheses, an N-complex C is …

In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

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 …