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Preserving near unanimity terms under products

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Abstract

We show that the Maltsev product of two idempotent varieties of algebras that have n-ary and m-ary near unanimity terms, respectively, will have a near unanimity term of arity n + m − 1 We also show that in general no lower arity near unanimity term can be found.

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Authors and Affiliations

  1. Department of Mathematics & Statistics, McMaster University, Hamilton, Canada

    Maria Campanella, Sean Conley & Matt Valeriote

Authors
  1. Maria Campanella
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  2. Sean Conley
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  3. Matt Valeriote
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Corresponding author

Correspondence to Matt Valeriote.

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This article is dedicated to the memory of Ervin Fried and Jiří Sichler

The authors were supported by the Natural Sciences and Engineering Research Council of Canada. The second author was also supported by the Arts & Science program at McMaster University.

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Campanella, M., Conley, S. & Valeriote, M. Preserving near unanimity terms under products. Algebra Univers. 76, 293–300 (2016). https://doi.org/10.1007/s00012-016-0393-0

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  • DOI: https://doi.org/10.1007/s00012-016-0393-0

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