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On Sheaf Representation of a Biregular Near-Ring

Published online by Cambridge University Press:  20 November 2018

George Szeto
George Szeto*
Affiliation:
Bradley University, Peoria, Illinois, U.S.A.61625
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Abstract

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It is shown that R is a biregular near-ring if and only if it is isomorphic with the near-ring of sections of a sheaf of reduced near-rings over a Boolean space. Also, some ideal properties of a biregular near-ring are proved. These are considered as generalizations of some works of R. Pierce on biregular rings.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 4 , 01 December 1977 , pp. 495 - 500
Copyright
Copyright © Canadian Mathematical Society 1977

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