On Generalized Simple Singular AP-Injective Rings

Section: Article
Issue
Vol. 9 No. 1 (2012): Volume 9 Issue 1
Published
Jun 8, 2012
Pages
175-180

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.

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

https://doi.org/10.33899/csmj.2012.163681%20
Download this PDF file
PDF

Statistics

How to Cite

D. Mahmood, R., & Q. Mohammad, H. (2012). On Generalized Simple Singular AP-Injective Rings. AL-Rafidain Journal of Computer Sciences and Mathematics, 9(1), 175–180. https://doi.org/10.33899/csmj.2012.163681
Copyright and Licensing
Creative Commons License

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