Congruence relations in direct products
Authors: Grant A. Fraser and Alfred Horn
Journal: Proc. Amer. Math. Soc. 26 (1970), 390-394
MSC: Primary 08.30
MathSciNet review: 0265258
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Abstract: This paper studies conditions under which every congruence relation in a direct product of algebras is of the form , where and are congruence relations in and respectively. It is shown that for any equational class , every such in every in has this property if and only if satisfies certain identities.
-  G. Grätzer, Universal algebra, University Series in Higher Math., Van Nosstrand, Princeton, N. J., 1968.
- G. Grätzer, Universal algebra, University Series in Higher Math., Van Nosstrand, Princeton, N. J., 1968.
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Keywords: Congruence relation, direct product, equational class
Article copyright: © Copyright 1970 American Mathematical Society