… a generalization of injective modules unifies C2 and C3-modules. In the … -injective module
which gives a unified viewpoint of C2, C3, SSP properties and simple-direct-injective modules. …

… injective module E is A-injective if E is lower Levitzki. (This is in purely formal analogy with
Einjective… If all simple right R-modules are injective then R is said to be a right V (for Villamajor…

… -injective modules are those of semisimples and injectives. In this paper, we study rings with
no quasi-injective modules … simple right R-module W, the injective hull of W is a uniserial …

… Inspired by those, singular simple-direct-injective modules … right R-module is a singular
simple-directinjective module and a … right R-module is a singular simple-direct-injective module. …

… of GE and GEEmodules, a new variation of injective modules. We call M a GE-module if it has
… Since R is a V -ring, Soc(M) is the direct sum of simple injective R-modules. It follows from …

… injectivity. For example, the endomorphism ring of a pure quasi injective module is regular
and self injective … that the character modules of simple right R-modules are injective left R-…

… right modules are injective. We also give a characterization of simple-direct-injective
modules over semilocal rings. We show that simple-direct-injective modules are closed under …

… -𝑁-injective modules is … -injective modules are given. We prove the equivalence of the
following statements: (1) Every right 𝑅-module is SAS-injective; (2) Every simple right 𝑅-module is …

… -injective modules the reader is kindly referred to [11,12,13,14,15,18,19]. It arises from the
present study of P1-injective modules … of an injective R-module I and I is semi-simple, by our …

… -injective (M is N-projective) only if N is semisimple. We describe the structure of simple poor
R-modules and simple p-poor R-modules. … (ii) Let S be a simple injective module. Then S is …