Pseudo - y - closed - Injective Modules

Ahmed Ali  Arabi; Mahdi Saleh  Nayef

doi:10.24996/ijs.2024.65.5.26

Authors

Ahmed Ali Arabi Mathematical Department, College of Education, University of Al-Mustansiriyah, Baghdad, Iraq.
Mahdi Saleh Nayef Mathematical Department, College of Education, University of Al-Mustansiriyah, Baghdad, Iraq. https://orcid.org/0000-0002-9573-8280

DOI:

https://doi.org/10.24996/ijs.2024.65.5.26

Keywords:

pseudo-y-closed- injective module, quasi - pseudo -y-closed-injective module, fully pseudo yc-stable

Abstract

In this paper, we introduce new concepts of pseudo- -closed -injective module, and quasi- pseudo- -closed- injective module. This work which is generalization of pseudo-injective modules and y-closed-injective modules. We have provided some characteristics and descriptions of those concepts. CLS-modules have been characterized in terms of pseudo- - closed-injective modules. We have shown the relationships of quasi-pseudo- -closed-injective with other concepts, including a Co-Hopfian, directly finite modules.