Very many clones above the unary clone

Goldstern M, and Sági, Gábor and Shelah S, (2013) Very many clones above the unary clone. ALGEBRA UNIVERSALIS, 69 (4). pp. 387-399. ISSN 0002-5240

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Abstract

Let c:= 2א0. We give a family of pairwise incomparable clones on ℕ with 2c members, all with the same unary fragment, namely the set of all unary operations. We also give, for each n, a family of 2c clones all with the same n-ary fragment, and all containing the set of all unary operations. © 2013 Springer Basel.

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