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A survey of minimal clones

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Summary

A clone is a set of composition closed functions on some set. A non-trivial fact is that on a finite set every clone contains a minimal clone. This naturally leads to the problem of classifying all minimal clones on a finite set. In this paper I survey what is known about this classification. Rather than repeat the arguments used in the original papers, I have tried to use known results about finite algebras to give a more coherent and unified description of the known minimal clones.

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Authors and Affiliations

  1. Department of Mathematics, University of Manitoba, R3T 2N2, Winnipeg, Manitoba, Canada

    Robert W. Quackenbush

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  1. Robert W. Quackenbush
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Dedicated to the memory of Trevor Evans

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Quackenbush, R.W. A survey of minimal clones. Aeq. Math. 50, 3–16 (1995). https://doi.org/10.1007/BF01831110

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  • DOI: https://doi.org/10.1007/BF01831110

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