Rings in which Every Simple Right R-Module is Flat | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 7, Volume 1, Issue 1, June 2004, Pages 88-95 PDF (174.25 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2004.164099 | ||
| Author | ||
| Raida D. Mahmood | ||
| College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| The objective of this paper is to initiate the study of rings in which each simple right R-module is flat, such rings will be called right SF-rings. Some important properties of right SF-rings are obtained. Among other results we prove that: If R is a semi prime ERT right SF-ring with zero socle, then R is a strongly regular ring. | ||
| Keywords | ||
| strongly regular rings; SF-ring; reduced rings | ||
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