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A congruence modular variety that is neither congruence distributive nor 3-permutable

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Abstract

We present an example of a variety of algebras which is congruence modular but not congruence distributive or congruence n-permutable for each n ≥ 2.

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References

  • Chajda I, Eigenthaler G, Länger H (2003) Congruence Classes in Universal Algebra. Heldermann Verlag, Lemgo, 218 pp, ISBN 3-88538-226-1

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Science, Palacký University, 17. listopadu 12, 771 46, Olomouc, Czech Republic

    Ivan Chajda

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  1. Ivan Chajda
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Correspondence to Ivan Chajda.

Additional information

Communicated by C. Tsinakis.

This work is supported by the project Algebraic Methods in Quantum Logic, No.: CZ.1.07/2.3.00/20.0051.

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Chajda, I. A congruence modular variety that is neither congruence distributive nor 3-permutable. Soft Comput 17, 1467–1469 (2013). https://doi.org/10.1007/s00500-013-0988-8

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  • DOI: https://doi.org/10.1007/s00500-013-0988-8

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