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Clones on three elements preserving a binary relation

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Abstract.

We describe the clones on 3 elements that can be expressed as Pol ρ for ρ a binary relation. We present the poset of these clones ordered by inclusion. This article is a shortened version of the author’s thesis, to give an idea of the whole work.

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  1. Département de Mathématiques et de Statistique, Université de Montréal, Montreal, QC, Canada

    Anne Fearnley

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  1. Anne Fearnley
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Correspondence to Anne Fearnley.

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Received March 24, 2005; accepted in final form December 20, 2005.

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Fearnley, A. Clones on three elements preserving a binary relation. Algebra univers. 56, 165–177 (2007). https://doi.org/10.1007/s00012-007-1985-5

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  • DOI: https://doi.org/10.1007/s00012-007-1985-5

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