In this paper we introduce 𝒯-noncosingular modules. Rings for which all right modules are𝒯-
noncosingular are shown to be precisely those for which every simple right module is …

In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-
noncosingular are shown to be precisely those for which every simple right module is …

In this paper, we introduce the concept of NN-torsion-free modules (respectively, NN-
injective modules) as a generalization of nonnil-torsion-free modules (respectively, injective …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

We introduce the notion of almost pseudo-injective modules (AP-injective modules), which
generalizes the idea of pseudo-injective and almost injective modules. In support, we …

Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …

The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties of both classes of rings are closely related to the embedding of finitely presented …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …