Let R be a commutative ring. An R-module M is said to be w-flat if TorR 1 (M, N) is a GV-
torsion R-module for all R-modules N. In this paper, we study the flat and projective …

Let $ R $ be a commutative ring. An $ R $-module $ M $ is said to be $ w $-flat if $\Tor^{R} _
{1}(M, N) $ is $ GV $-torsion for any $ R $-module $ N $. It is known that every flat module is …

Let $ R $ be a commutative ring. An $ R $-module $ M $ is called a semi-regular $ w $-flat
module if $\Tor_1^ R (R/I, M) $ is $\GV $-torsion for any finitely generated semi-regular ideal …

Let R be a ring and let S be a multiplicative subset of R. An R‐module M is said to be au‐S‐
absolutely pure module if Ext R 1 N, M is u‐S‐torsion for any finitely presented R‐module N …

Chapter 19 The Cotorsion Dimension of Modules and Rings Lixin Mao Department of Basic
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …

In this paper, strongly cotorsion (torsion-free) modules are studied and strongly cotorsion
(torsion-free) dimension is introduced. It is shown that every module has a special SCn …

The introduction of w-operation in the class of flat modules has been successful. Let R be a
ring. An R-module M is called aw-flat module if TOR R 1 (M, N) is GV-torsion for all R …

In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …

In this paper, the notion of strongly G_C-projective and injective modules is introduced,
where C is a semidualizing module. Using these modules we can obtain a new …

Let R be a ring. We define a dimension, called P-cotorsion dimension, for modules and
rings. The aim of this article is to investigate P-cotorsion dimensions of modules and rings …