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On Weakly Regular Rings and SSF-rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 4, Volume 3, Issue 1, 2006, Pages 55-59 PDF (160.35 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2006.164035 | ||
| Author | ||
| Raida D. Mahmood | ||
| College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z (R) the center of R is a von Neunann regular ring. We also show that a ring R either satisfies (*) or a strongly right bounded ring in which every simple singular right R-module is flat, then R is reduced weakly regular rings. | ||
| Keywords | ||
| Flat; Reduced; weakly regular rings | ||
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