A Generalization of Von Neumann Regular Rings

Section: Research Paper
Issue
Vol. 6 No. 2 (2009): Volume 6 Issue 2
Pages
197-210

Keywords:

regular rings, centrally regular rings, indecomposable, multiplicative system, Jacobson radical

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.

References

Author

Adil K. Jabbar

College of Sciences University of Sulaimani

Identifiers

DOI: 10.33899/csmj.2009.163808

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A Generalization of Von Neumann Regular Rings. (2009). AL-Rafidain Journal of Computer Sciences and Mathematics, 6(2), 197-210. https://doi.org/10.33899/csmj.2009.163808
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How to Cite

A Generalization of Von Neumann Regular Rings. (2009). AL-Rafidain Journal of Computer Sciences and Mathematics, 6(2), 197-210. https://doi.org/10.33899/csmj.2009.163808