We call a module essentially retractable if HomR for all essential submodules N of M. For a
right FBN ring R, it is shown that:(i) A non-zero module is retractable (in the sense that …

A left R-module M is said to be mininjective if Ext1 (R/I, M)= 0 for any simple left ideal I of R.
A ring R is called left min-coherent in case each simple left ideal of R is finitely presented. It …

In this paper we introduce the concept of im-summand coinvariance and im-small
coinvariance; that is, a module $ M $ over a right perfect ring is said to be im-summand (im …

This paper describes properties of three certain classes of modules M over a ring R
determined by conditions on isomorphic direct summands (≲⊕): The condition that …

A module $ M $ is said to be coretractable if there exists a nonzero homomorphism of every
nonzero factor of $ M $ into $ M $. We prove that all right (left) modules over a ring are …

In this paper we study M-small principally injective (in short, M-sp-injective) module which is
the generalization of M-principally injective module. We prove that if M is finite dimensional …

In this paper, we introduce the notion of abelian endoregular modules as those modules
whose endomorphism rings are abelian von Neumann regular. We characterize an abelian …

Let M and N be two modules. M is called essentially pseudo N-injective if for any essential
submodule A of N, any monomorphism f: A → M f: A→ M can be extended to some g ∈ Hom …

Recently, the rings whose injective right modules are R-projective (respectively, max-
projective) were investigated and studied in [2]. Such ring are called right almost-QF …

‎ We call a ring $ R $ right generalized semiperfect if every simple right $ R $-module is an
epimorphic image of a flat right $ R $-module with small kernel‎,‎ that is‎,‎ every simple right $ R …