A Generalization of Von Neumann Regular Rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Article 17, Volume 6, Issue 2, August 2009, Pages 197-210 PDF (626.8 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2009.163808 | ||
| Author | ||
| Adil K. Jabbar | ||
| College of Sciences University of Sulaimani | ||
| Abstract | ||
| In this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular rings. Also we have determined some conditions under which regular and centrally regular rings are equivalent. | ||
| Keywords | ||
| regular rings; centrally regular rings; indecomposable; multiplicative system; Jacobson radical | ||
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