On m-Regular Rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 5, Volume 9, Issue 2, December 2012, Pages 61-70 PDF (402.71 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2012.163701 | ||
| Authors | ||
| Zubayda M. Ibraheem1; Maha F. Khalaf2 | ||
| 1College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| 2College of Computer Sciences and Mathematics University of Mosul | ||
| Abstract | ||
| As a generalization of regular rings, we introduce the notion, of m-regular rings, that is for all , there is a fixed positive integer m such that is a Von-Neumann regular element. Some characterization and basic properties of these rings will be given. Also, we study the relation-ship between them and Von-Neumann regular rings, -regular rings, reduced rings, locally rings, uniform rings and 2-primal rings. | ||
| Keywords | ||
| m-regular rings; -regular rings; reduced rings; locally rings; uniform rings and 2-primal rings | ||
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