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On the relationship of AP, RS and CEP in congruence modular varieties

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Abstract

A condition is found on a congruence modular variety, guaranteeing that the implication AP & RS⇒CEP holds. The condition is in terms of the commutator on congruence lattices. In particular, the implication holds for any congruence distributive variety whose free algebra on four generators is finite.

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Authors and Affiliations

  1. Iowa State University, Ames, Iowa, USA

    Clifford Bergman

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  1. Clifford Bergman
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Bergman, C. On the relationship of AP, RS and CEP in congruence modular varieties. Algebra Universalis 22, 164–171 (1986). https://doi.org/10.1007/BF01224023

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  • DOI: https://doi.org/10.1007/BF01224023

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