IJPAM: Volume 86, No. 2 (2013)
THE PRODUCT OF ANY TWO ZERO DIVISORS
LIES IN THE GALOIS SUBRING
1Department of Mathematics and Computer Science
University of Kabianga
P.O. Box 2030-20200, Kericho, KENYA
2,3Department of Mathematics
Masinde Muliro University of Science and Technology
P.O. Box 190-50100, Kakamega, KENYA
Abstract. Suppose R is a completely primary finite ring in which the product of any two zero divisors lies in the Galois (coefficient) subring. We construct R and find a generalized characterization of its regular elements.
Received: January 28, 2013
AMS Subject Classification: 13M05, 16P10, 16U60, 13E10, 16N20
Key Words and Phrases: unit groups, completely primary finite rings
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DOI: 10.12732/ijpam.v86i2.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395