If R is a commutative ring, then we prove that every finitely generated R-module has a pure-
composition series with indecomposable cyclic factors and any two such series are …

Over a commutative ring R, a module is artinian if and only if it is a Loewy module with finite
Loewy invariants. In this paper, we show that this is not necesarily true for modules over …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

In this paper, we introduce the notion of cofinitely injective modules and study their
properties over special types of rings. We define a right R‐module M to be cofinitely injective …

Let R be a Cohen–Macaulay local ring and let M and N be finitely generated R-modules. In
this paper we investigate some of the necessary conditions for the depth formula depth (M)+ …

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 …

We study the rings R whose injective hull E (RR) is cyclic, extending and simplifying many of
the known results on the subject, and obtaining new ones. For example, we prove that if R is …

arXiv:2407.16146v1 [math.RA] 23 Jul 2024 Page 1 arXiv:2407.16146v1 [math.RA] 23 Jul 2024
On the existence of relative injective envelopes on ring extensions Xiaolei Zhanga School of …

Proper classes (or exact structures) offer rich research topics due to their important role in
category theory. Motivated by the studies on opposite of injective modules, we introduce a …

On semi-artinian V-modules Page 1 Journal of Pure and Applied Algebra 82 (lYY2) 27-37
North-Holland 27 On semi-artinian V-modules Nguyen V. Dung Departamento de Mutematicas …