Clones above the unary clone
Rings and Algebras
2011-08-16 v2 Logic
Abstract
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.
Cite
@article{arxiv.1108.2061,
title = {Clones above the unary clone},
author = {Martin Goldstern and Gábor Sági and Saharon Shelah},
journal= {arXiv preprint arXiv:1108.2061},
year = {2011}
}
Comments
(infinitesimal changes to version 1)