Very many clones above the unary clone

Goldstern, Martin and Sági, Gábor and Selah, Saharon (2013) Very many clones above the unary clone. Algebra Universalis, 69. pp. 387-399.

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Abstract

Let c := 2^N. We give a family of pairwise incomparable clones on N with 2^c members, all with the same unary fragment, namely the set of all unary operations. We also give, for each n, a family of 2^c clones all with the same n-ary fragment, and all containing the set of all unary operations.

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