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 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, the notions of nonnil-injective modules and nonnil-FP-injective modules are
introduced and studied. Especially, we show that a $\phi $-ring $ R $ is an integral domain if …

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 …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

In this paper, we introduce the concept of nonnil-FP-injective dimension for both modules
and rings. We explore the characterization of strongly ϕ-rings that have a nonnil-FP-injective …

In this paper, we extend the notion of C-injective module to that of C-FP-injective module,
where S CR is a semidualizing bimodule over associative rings. We first obtain a result on …

This paper extends many conclusions based on phantom envelopes and Ext-phantom
covers of modules, and we find that many important properties still hold after replacing …

In this article, we introduce two new classes of modules over a ϕ-ring that generalize the
classes of coherent modules and Noetherian modules. We next study the possible transfer …