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 …

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 first introduce and study the notions of strongly $\phi $-flat modules and
strongly nonnil-injective modules. And then, we investigate the homology dimensions of …

In this paper, we introduce and study the class of $\phi $-$ w $-P-flat modules, which can be
seen as generalizations of both $\phi $-P-flat modules and $ w $-P-flat modules. In …

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 …

In this paper, we will introduce and study the homological dimensions defined in the context
of commutative rings with prime nilradical. So all rings considered in this paper are …

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 …

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 I. In this article …

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 …

Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …