On Regularity and Flatness | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 1, Volume 1, Issue 2, December 2004, Pages 11-16 PDF (167.54 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2004.164107 | ||
| Author | ||
| Nazar H. Shuker | ||
| College of Computer Science and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| A ring R is called a right SF-ring if all its simple right R-modules are flat. It is well known that Von Neumann regular rings are right and left SF-rings. In this paper we study conditions under which SF-rings are strongly regular. Finally, some new characterstic properties of right SF-rings are given. | ||
| Keywords | ||
| Modules; Flat; Von Neumann regular rings | ||
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