Let $ R $ be a commutative ring. An $ R $-module $ M $ is said to be $ w $-split if Ext $ _
{R}^ 1 (M, N) $ is a GV-torsion $ R $-module for all $ R $-modules $ N $. It is known that …

Let R be a commutative ring. An R-module M is said to be w-split if Ext R 1 (M, N) is a GV-
torsion R-module for all R-modules N. It is known that every projective module is w-split, but …

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 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 w-flat, but the converse is not …

In this paper, we study some properties of w-split modules. Hence, we use these modules to
characterize some classical rings. For example, we prove that a ring R is Von Neumann …

Let $ R $ be a ring. An $ R $-module $ M $ is said to be an absolutely $ w $-pure module if
and only if $\Ext^ 1_R (F, M) $ is a GV-torsion module for any finitely presented module $ F …

Let $ R $ be a ring. An $ R $-module $ M $ is said to be an absolutely $ w $-pure module if
and only if $\Ext^ 1_R (F, M) $ is a GV-torsion module for any finitely presented module $ F …

w-FP-projective Modules and Dimensions Page 59 w-FP-projective Modules and
Dimensions Refat Abdelmawla Khaled Assaad, El Mehdi Bouba, and Mohammed …

Let R be a commutative ring. An R-module M is called a semiregular w-flat module if TorR 1
(R/I, M) is GV-torsion for any finitely generated semi-regular ideal I. In this article, we show …