\(A\times A\) congruence coherent implies \(A\) congruence regular (Q1175936)
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scientific article; zbMATH DE number 14886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(A\times A\) congruence coherent implies \(A\) congruence regular |
scientific article; zbMATH DE number 14886 |
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\(A\times A\) congruence coherent implies \(A\) congruence regular (English)
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25 June 1992
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It has been known for a long time that any variety of congruence coherent algebras is congruence permutable and congruence regular [see \textit{D. Geigher}, ''Congruence coherent algebras'', Preprint (1974)]. A local version of the first assertion was recently proved by \textit{D. M. Clark} and \textit{I. Fleischer} [Algebra Univers. 24, 192 (1987; Zbl 0634.08001)]. We show that the second implication can be sharpened in a similar way.
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congruence permutable variety
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congruence regular variety
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congruence coherent algebras
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