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 …

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 the notion of Wn-modules and describe non-commutative
coherent rings with finite FP-selfinjective dimension. The obtained results generalize the …

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 introduce and study the $ S $-weak global dimension $ S $-w. gl. dim $(R)
$ of a commutative ring $ R $ for some multiplicative subset $ S $ of $ R $. Moreover …

The concepts of Ding projective, injective R-modules were first introduced by Ding and his
partners in [J. Aust. Math. Soc., 86 (2009), 323–338] and [J. Algebra Appl., 7 (4)(2008), 491 …

In this paper, the $\tau_q $-weak global dimension $\tau_q $-\cwd $(R) $ of a commutative
ring $ R $ is introduced. Rings with $\tau_q $-weak global dimension equal to $0 $ are …

We investigate injective dimension of $ F $-finite $ F $-modules in characteristic $ p $ and
holonomic $ D $-modules in characteristic 0. One of our main results is the following. If …

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 introduce and study the w-weak global dimension ww. gl. dim (R) of a
commutative ring R. As an application, it is shown that an integral domain R is a Prüfer v …