This paper is a continuation of the recent research concerning generalization of pseudo
injective systems over monoids, namely pseudo CM-injective and pseudo C-quasi …

Throughout this paper, all rings R are associative with identity and all modules are unitary
right R-module. The notations N≤ e M and N≤⊕ M mean that N is an essential submodule …

The pseudo-* c-injective modules and rings have been introduced in [7]. In this paper, we
study co-Hopfian pseudo-* c-injective modules. The main result of this paper is to give …

A rightmodule M over a ring R is said to be ADSif, for every decomposition M= S⊕ T and
every complement T'of S, we have M= S⊕ T'. In this article, we study and provide several …

A right R-module M is called to satisfy condition (𝒞) if, for every s∈ S= End R (M) and s≠ 0,
there exists n∈ ℕ such that sn≠ 0 and if Ker (sn) is a direct summand of M, then IM (sn) is a …

In this paper, we firstly provide several new characterizations of quasi-Frobenius rings by
using some generalized injectivity of rings with certain chain conditions. For example,(1) a …