Abstract In 2016, Facchini and Nazemian defined the notion of iso-Artinian and iso-
Noetherian modules and rings. We discuss some new properties of iso-Artinian and iso …

In 2010, Sanh et al. introduced a class of pseudo-M-gp-injective modules, following this, a
right R-module N is called pseudo-M-gp-injective if for any homomorphism 0= α∈ End (M) …

Every QP-injective module is QPP-injective but the converse need not be true. We
investigate sufficient conditions for QPP-injective modules to be QP-injective. We show that …

In this paper, we introduce the notion of $ S $-$ M $-cyclic submodules, which is a
generalization of the notion of $ M $-cyclic submodules. Let $ M, N $ be right $ R $-modules …

Let M be a right R-module with S= EndR (M) and W (S)={s∈ S| Ker (s) C* > M}. A right R-
module N is called GW-M-principally injective (pseudo-GW-Mprincipally injective), if any s∈ …

Abstract A submodule N of M is called fully invariant if f (N)≤ N for all f∈ End (M). In this
paper, we consider a generalization of fully invariant submodules and its applications. In …