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

Cornish, William H. ; Stewart, Patrick N.

Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 148-153

Résumé

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.

Détail

DOI : 10.4153/CJM-1976-018-7

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