Open AccessOn C-co-epi-retractable Modules
Author(s) -
Abdoul Djibril Diallo,
Papa Cheikhou Diop,
Mamadou Barry
Publication year - 2019
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v12i3.3461
Subject(s) - mathematics , injective function , simple module , complement (music) , injective module , simple (philosophy) , dimension (graph theory) , module , pure mathematics , ring (chemistry) , combinatorics , chemistry , philosophy , biochemistry , epistemology , organic chemistry , complementation , gene , phenotype
In this paper, we introduce the notion of c-co-epi-retractable modules. An R-module M is called c-co-epi-retractable if it contains a copy of its factor module by a complement submodule. The ring R is called c-co-pri if RR is c-co-epi-retractable. Conditions are found under which, a c-coepi-retractable module is extending, retractable, semi-simple, quasi-injective, injective and simple. Also, we investigate when c-co-epi-retractable modules have finite uniform dimension. Finally, right SI-rings, semi-simple artinian rings and quasi-Frobenius rings are characterized in termes of c-co-epi-retractable modules.