On Rings whose Maximal Essential Ideals are Pure

Section: Research Paper
Issue
Vol. 4 No. 1 (2007): Volume 4 Issue 1
Pages
57-62

Abstract

This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP rings to be strongly regular rings and weakly regular rings.

Keywords:

MEP-rings, pure ideals, weakly regular ring

Authors

Raida D. Mahmood

College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq

Awreng B. Mahmood

College of Computer science and Mathematics, University of Mosul

Identifiers

DOI: 10.33899/csmj.2007.163995

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On Rings whose Maximal Essential Ideals are Pure. (2007). AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), 57-62. https://doi.org/10.33899/csmj.2007.163995
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

On Rings whose Maximal Essential Ideals are Pure. (2007). AL-Rafidain Journal of Computer Sciences and Mathematics, 4(1), 57-62. https://doi.org/10.33899/csmj.2007.163995