Coarse classification of binary minimal clones

Zarathustra Brady

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arXiv · 2301.12631

Coarse classification of binary minimal clones

Zarathustra Brady

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Abstract

We classify binary minimal clones into seven categories: affine algebras, rectangular bands, $p$-cyclic groupoids, spirals, non-Taylor partial semilattices, melds, and dispersive algebras. Each category has nice enough properties to guarantee that any clone of one of these types contains a minimal clone of the same type.

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Zarathustra Brady. 2023-01-30. Coarse classification of binary minimal clones. https://arxiv.org/abs/2301.12631

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