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On Generalized Simple Singular AP-Injective Rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 15, Volume 9, Issue 1, 2012, Pages 175-180 PDF (205.11 K) | ||
| DOI: 10.33899/csmj.2012.163681 | ||
| Authors | ||
| Raida D. Mahmood; Husam Q. Mohammad | ||
| College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 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 bÎM, 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. | ||
| Keywords | ||
| AP-injective Rings; weakly continuous rings; socle of R; Von Neumann regular rings | ||
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