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 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 …

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 $\Tor^{R} _
{1}(M, N) $ is $ GV $-torsion for any $ R $-module $ N $. It is known that every flat module is …

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, we generalize the notions uniformly S-flat, briefly uS-flat, modules and
dimensions. We introduce and study the notions of weak uS-flat modules. An R-module M is …

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 …

In this paper, we introduce and study the notion of strongly $\phi $-$ w $-flat modules. The
$\phi $-$ w $-weak global dimension $\phi $-$ w $-w. gl. dim $(R) $ of an NP-ring $ R $ is …

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

We define a dimension, called an FP-projective dimension, for modules and rings. It
measures how far away a finitely generated module is from being finitely presented, and …