Let R be a commutative ring. An R-module M is said to be an absolutely w-pure module if
Ext R 1 (F, M) is GV-torsion for any finitely presented R-module F. In this paper, we further …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …

We study torsionfree and divisible dimensions in terms of right derived functors of-⊗-. We
also investigate the cotorsion pair cogenerated by the class of cyclic torsionfree right R …

A right R-module M is torsion-free (in the sense of Hattori) if for all r∈ R. The class of torsion-
free modules is a cotilting class if and only if R is a left pp-ring. This paper investigates how …

The aim of this paper is to describe the classes of strongly flat and weakly cotorsion modules
with respect to a multiplicative subset or a finite collection of multiplicative subsets in a …

Let R be a commutative ring and C a semidualizing R-module. For a non-negative integer n,
we study a natural generalization of copure injective (flat) modules by introducing the …

This paper introduces and studies homological properties of new classes of modules,
namely, the $\mathcal F_1 $-flat modules and the $\mathcal F_1^{\fp} $-flat modules, where …

Let R be a ring. A right R-module C is called cotorsion if for any flat right R-module biF. In
this paper, we first give some results on cotorsion envelopes that are analogous to those on …

Let M be a finitely generated torsion-free module over a one-dimensional reduced
Noetherian ring R with finitely generated normalization. The rank of M is the tuple of vector …

R is called a right ${\Pi}-coherent $ ring in case every finitely generated torsion less right R-
module is finitely presented. In this paper, we define a dimension for rings, called ${\Pi} …