Pseudo - y - closed - Injective Modules

Ahmed Ali  Arabi; Mahdi Saleh  Nayef

doi:10.24996/ijs.2024.65.5.26

Pseudo - y - closed - Injective Modules

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.

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Published

2024-05-30

Issue

Vol 65 No 5 (2024)

Section

Mathematics

License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

[1]

A. A. . Arabi and M. S. . Nayef, “Pseudo - y - closed - Injective Modules”, Iraqi Journal of Science, vol. 65, no. 5, pp. 2679–2692, May 2024, doi: 10.24996/ijs.2024.65.5.26.