This paper aims to study the notions of A-C3 and A-D3 modules for some class A of right
modules. Several characterizations of these modules are provided and used to describe …

The aim of this paper is to study the notions of $\mathcal {A} $-C3 and $\mathcal {A} $-D3
modules for some class $\mathcal {A} $ of right modules. Several characterizations of these …

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 …

Throughout, R is an associative ring with identity and all modules are unitary. Unless
otherwise specified, s is a class of some right R-modules which is closed under …

Let R be a ring and be a class of right R-modules which is closed under submodules,
quotients and isomorphisms. A right R-module M is called-injective if for every T. A ring R is …

A module $ M $ is called a $ C_ {21} $-module if, whenever $ A $ and $ B $ are submodules
of $ M $ with $ A\cong B $, $ A $ is nonsingular and $ B $ is a direct summand of $ M $, then …

Let A be a class of some right R‐modules that is closed under isomorphisms, and let M be a
right R‐module. Then M is called A‐D3 if, whenever N and K are direct summands of M with …

In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …

Let R be a ring, MR be a right R-module, n be a positive integer and S= End (MR) be the
endomorphism ring of MR. MR is called a strongly C2 module if is C2 for every positive …

Shahabaddin Ebrahimi Atani, Mehdi Khoramdel, Saboura Dolati Pish Hesari C3-MODULES
Communicated by A. Romanowska 1. Introduction Page 1 DEMONSTRATIO MATHEMATICA …