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Characterizing the commutator in varieties with a difference term

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We extend the validity of Kiss’s characterization of “\([\alpha ,\beta ]=0\)” from congruence modular varieties to varieties with a difference term. This fixes a recently discovered gap in our paper Kearnes et al. (Trans Am Math Soc 368:2115–2143, 2016). We also prove some related properties of Kiss terms in varieties with a difference term.

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Authors and Affiliations

  1. Mathematics Department, University of Colorado, Boulder, CO,  80309-0395, USA

    Keith A. Kearnes & Ágnes Szendrei

  2. Pure Mathematics Department, University of Waterloo, Waterloo, ON,  N2L 3G1, Canada

    Ross Willard

Authors
  1. Keith A. Kearnes
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  2. Ágnes Szendrei
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  3. Ross Willard
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Correspondence to Ross Willard.

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Presented by E. W. Kiss.

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This material is based upon work supported by the National Research, Development and Innovation Fund of Hungary (NKFI) Grant no. K128042, and a Natural Sciences and Engineering Research Council (NSERC) of Canada Discovery Grant.

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Kearnes, K.A., Szendrei, Á. & Willard, R. Characterizing the commutator in varieties with a difference term. Algebra Univers. 83, 17 (2022). https://doi.org/10.1007/s00012-022-00772-7

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  • DOI: https://doi.org/10.1007/s00012-022-00772-7

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