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Weakly Regular Algebras, Boolean Orthogonalities and Direct Products of Integral Domains

Published online by Cambridge University Press:  20 November 2018

William H. Cornish  and
Patrick N. Stewart
William H. Cornish
Affiliation:
The Flinders University of South Australia, Bedford Park 5042, S.A., Australia
Patrick N. Stewart
Affiliation:
Dalhousie University, Halifax, N.S., Canada
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In this paper we consider representations of weakly regular algebras with permutable congruences and a Boolean orthogonality as direct products of orthoprime algebras. Our theorems generalize results of Abian [2; 3] and Speed [24] which characterize direct products of integral domains, and results of Abian [1] and Chacron [7] which characterize direct products of division rings.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 28 , Issue 1 , 01 February 1976 , pp. 148 - 153
Copyright
Copyright © Canadian Mathematical Society 1976

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