On C-co-epi-retractable Modules

Authors

  • Abdoul Djibril Diallo
  • Papa Cheikhou Diop Thiès University
  • Mamadou Barry

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3461

Keywords:

co-epi-retractable modules, c-co-epi-retactable modules, extending modules, Rickart modules

Abstract

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.

Author Biography

Papa Cheikhou Diop, Thiès University

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How to Cite

Diallo, A. D., Diop, P. C., & Barry, M. (2019). On C-co-epi-retractable Modules. European Journal of Pure and Applied Mathematics, 12(3), 1187–1198. https://doi.org/10.29020/nybg.ejpam.v12i3.3461

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