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Joins and Maltsev products of congruence permutable varieties

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Let \(\mathcal {A}\) and \(\mathcal {B}\) be idempotent varieties and suppose that the variety \(\mathcal {A} \vee \mathcal {B} \) is congruence permutable. Then the Maltsev product \(\mathcal {A} \circ \mathcal {B} \) is also congruence permutable.

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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, Ames, IA, 50011, USA

    Clifford Bergman

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  1. Clifford Bergman
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Correspondence to Clifford Bergman.

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Presented by W. DeMeo.

Dedicated to Ralph Freese, Bill Lampe, and J.B. Nation.

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Research partially supported by NSF Grant no. 1500235 and the Barbara J. Janson Professorship in Mathematics.

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Bergman, C. Joins and Maltsev products of congruence permutable varieties. Algebra Univers. 81, 16 (2020). https://doi.org/10.1007/s00012-020-0645-x

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