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arXiv · 1907.00470

Another characterization of congruence distributive varieties

Paolo Lipparini
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Abstract

We provide a Maltsev characterization of congruence distributive varieties by showing that a variety $\mathcal {V}$ is congruence distributive if and only if the congruence identity $\alpha \cap (\beta \circ \gamma \circ \beta ) \subseteq \alpha \beta \circ \gamma \circ \alpha \beta \circ \gamma \dots $ ($k$ factors) holds in $\mathcal {V}$, for some natural number $k$.

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Paolo Lipparini. 2019-06-30. Another characterization of congruence distributive varieties. https://doi.org/10.1556/012.2020.57.3.1471

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