The idea of generalizing quasi injective by employing a new term is introduced in this paper.
The introduction of principally self-injective modules, which are principally self-injective …

Let R be a ring. A right R-module C is called a cotorsion module if Ext1R (F, C)= 0 for any flat
right R-module F. In this paper, we first characterize those rings satisfying the condition that …

For a ring S, let K 0 (FGFl (S)) and K 0 (FGPr (S)) denote the Grothendieck groups of the
category of all finitely generated flat S-modules and the category of all finitely generated …

Recall that a ring R is said to be left coherent [2, 7] if every finitely generated left ideal of R is
finitely presented, a ring R is said to be left semihereditary if every finitely generated left …

Let $\cal F $ be a left Gabriel topology on a ring $ R $ and $\cal X $ be a special class of left
$ R $-modules (for example, the class of all quasi-continuous left $ R $-modules in $\sigma …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …

Throughout this paper, T is a ring with identity and F is a unitary left module over T. This
paper study the relation between semihollow-lifting modules and semiprojective covers …

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 …

In this paper, several characterizations of semi-compact modules are given. Among other
results, we study rings whose semi-compact modules are injective. We introduce the …

In this paper we show that if R is a ring of Krull dimension d and M is a strongly copure flat
(respectively, strongly copure injective) module, then E⊗ RM (respectively, HomR (E, M)) is …