Clones above the unary clone

Details Clones above the unary clone Clones above the unary clone

2011-08-09

arxiv.org/abs/1108.2061v2

Mathematics

Rings and Algebras

(infinitesimal changes to version 1)

Scientific paper

Let c be the cardinality of the continuum. We give a family of pairwise incomparable clones (on a countable base set) 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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