On Generalized Simple Singular AP-Injective Rings

Section: Article
Issue
Vol. 9 No. 1 (2012): Volume 9 Issue 1
Pages
175-180

Keywords:

AP-injective Rings, weakly continuous rings, socle of R, Von Neumann regular rings

Abstract

A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings. Some interesting results on these rings are obtained. In particular, conditions under which generalized simple singular AP-injective rings are weakly regular rings, and Von Neumann regular rings.

References

Authors

Raida D. Mahmood

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

Husam Q. Mohammad

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

Identifiers

DOI: 10.33899/csmj.2012.163681

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On Generalized Simple Singular AP-Injective Rings. (2012). AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 175-180. https://doi.org/10.33899/csmj.2012.163681
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How to Cite

On Generalized Simple Singular AP-Injective Rings. (2012). AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 175-180. https://doi.org/10.33899/csmj.2012.163681