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Mitschke's theorem is sharp - MaRDI portal

Mitschke's theorem is sharp (Q2073369)

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Mitschke's theorem is sharp
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    Mitschke's theorem is sharp (English)
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    2 February 2022
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    \textit{A. Mitschke} [ibid. 8, 29--32 (1978; Zbl 0368.08003)] showed that a variety with an \(m\)-ary near-unanimity term has Jonsson terms \(t_0,\dots,t_{2m-4}\) witnessing congruence distributivity. The author shows that this result is sharp using a construction of the variety which does not has less of these Jonsson terms. He also evaluates the best possible number of Day terms witnessing congruence modularity.
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    Mitschkes theorem
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    near-unanimity term
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    Jónsson terms
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    Day terms
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    congruence distributivity
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    congruence modularity
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