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A characterization of locally finite varieties that satisfy a nontrivial congruence identity

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Abstract.

We show that a locally finite variety satisfies a nontrivial congruence identity if and only if it satisfies an idempotent Mal'tsev condition that fails in the variety of semilattices.

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Authors and Affiliations

  1. Department of Mathematics University of Louisville Louisville, KY 40292 U.S.A., e-mail: kearnes@louisville.edu, , , , , , , USA

    Keith A. Kearnes

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  1. Keith A. Kearnes
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Received January 27, 1999; accepted in final form June 11, 1999.

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Kearnes, K. A characterization of locally finite varieties that satisfy a nontrivial congruence identity . Algebra univers. 42, 195–204 (1999). https://doi.org/10.1007/s000120050134

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  • DOI: https://doi.org/10.1007/s000120050134

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