In this short paper, the homological functors are used to show that a simple module is flat if
and only if it is injective. It is used to give a characterization of Von Neumann regular ring …

In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …

In this article, we study V-Gorenstein modules relatives to a dualizing module (Enochs et
al.,). These modules constitute a generalization of the well-known Gorenstein modules and …

If $ R $ is a ring with 1, we call a unital left $ R $-module $ M $ co-Hopfian (Hopfian) in the
category of left $ R $-modules if any monic (epic) endomorphism of $ M $ is an …

Two pairs of functors play an outstanding role in the representation theory of finite-
dimensional tensor algebras: The Coxeter functors C^{+} and C^{-} and the functors DTr and …

Let R be a commutative ring with identity and τ be a hereditary torsion theory on R-Mod. In
this article, we introduce and study the concept of τ-comultiplication module. We present …

In this paper we study the depth of tensor products of homologically finite complexes over
commutative Noetherian local rings. As an application of our main result, we determine new …

Tensor products of ideal systems and their modules Page 1 Pacific Journal of Mathematics
TENSOR PRODUCTS OF IDEAL SYSTEMS AND THEIR MODULES KARL EGIL AUBERT AND …

In [1], PE Bland has studied the strongly M-projective module and the strongly M-projective
cover. As their generalnotions, we define the strongly $\eta $-projective module and the …

Injective covers of modules were introduced by Enochs [5] as a categorical dual of an
injective envelope and they have been investigated by many authors. The T-torsionfree …