PSEUDO-RC-INJECTIVE MODULES

Mehdi Sadiq Abbas; Mahdi SalehNayef

doi:10.24297/jam.v11i4.1264

Authors

Mehdi Sadiq Abbas College of Science, University of Al-Mustansiriyah, Baghdad, Iraq
Mahdi SalehNayef College of education, University of Al-Mustansiriyah

DOI:

https://doi.org/10.24297/jam.v11i4.1264

Keywords:

Pseudo-injective modules, rc-injective modules, rc-quasi-injective, rationally closedsubmodules, pseudo-rc-injective modules, pseudo-c-injective modules, co-Hopfian module.

Abstract

The main purpose of this work is to introduce and study the concept of pseudo-rc-injective module which is a proper generalization of rc-injective and pseudo-injective modules. Numerous properties and characterizations have been obtained. Some known results on pseudo-injective and rc-injective modules generalized to pseudo-rc-injective. Rationally extending modules and semisimple modules have been characterized in terms of pseud-rc-injective modules. We explain the relationships of pseudo-rc-injective with some notions such as Co-Hopfian , directly finite modules.