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, strongly cotorsion (torsion-free) modules are studied and strongly cotorsion
(torsion-free) dimension is introduced. It is shown that every module has a special SCn …

Full article: Extension Closure of Relative k-Torsionfree Modules Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Access provided by The …

In this paper, we generalize, with respect to the w-operation, the notions of FI-injective and FI-
flat modules introduced by L. Mao and N. Ding. Let R be a ring. An R-module M is called w …

An $ R $-module $ M $ is called torsion-free, if $ rx= 0$ for $ r\in R $ and $ x\in M $ implies
that $ r= 0$ or $ x= 0$. In this paper, we introduce the notions semi torsion-free modules and …

Given modules RM and AR, RM is said to be absolutely AR-pure if A⊗ M→ A⊗ B is a
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …

In basic homological algebra, the flat and injective dimensions of modules play an important
and fundamental role. In this paper, the closely related IFP-flat and IFP-injective dimensions …

Let R be a commutative ring with identity. In this paper, w∞-projective modules are
introduced and studied. It is shown that every R-module has a special w∞-projective …

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 …

A left R-module M is called strongly P-projective if Exti (M, P)= 0 for all projective left R-
modules P and all i≥ 1. In this article, we first discuss properties of strongly P-projective …