In this paper, we generalize the concept of direct-injective modules to fi nite-direct-injective
modules. Various basic properties of these modules are studied. We show that the class of fi …

Rad-injective and Almost-injective Modules and Rings Page 1 Algebra Colloquium c© 2011
AMSS CAS & SUZHOU UNIV Algebra Colloquium 18 : 3 (2011) 411–418 Rad-injective and …

In this paper, we introduce and study the dual notion of simple-direct-injective modules.
Namely, a right R-module M is called simple-direct-projective if, whenever A and B are …

The notion of simple-direct-injective modules which are a generalization of injective
modules unifies $ C2 $ and $ C3 $-modules. In the present paper, we introduce the notion of …

In this paper, we have introduced copure-direct-injective modules. A right R-module M is
said to be copure-direct-injective if every copure submodule of M isomorphic to a direct …

Recently, in a series of papers “simple” versions of direct-injective and direct-projective
modules have been investigated. These modules are termed as “simple-direct-injective” and …

In this paper, we study some more properties on direct-injective modules in the context of
endoregular, SSP and SIP modules. We find the equivalent condition for a directinjective …

In this paper, the concepts of quasi-c-principally injective modules (in short, quasi-cp-
injective modules) and self-c-principally injective rings are introduced. In support of these …

Characterization of rings direct-projective modules direct-injective modules using and Page 1
Journal of Pure and Applied Algebra 87 (1993) 99-104 North-Holland 99 Characterization of …

A module M over a ring is called simple-direct-injective if, whenever A and B are simple
submodules of M with A≅ B and B⊆⊕ M, we have A⊆⊕ M. Various basic properties of …