Sh:989
- Goldstern, M., Shelah, S., & Sági, G. (2013). Very many clones above the unary clone. Algebra Universalis, 69(4), 387–399. arXiv: 1108.2061 DOI: 10.1007/s00012-013-0236-1 MR: 3061094
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Abstract:
Let \mathfrak c:= 2^{\aleph_0}. We give a family of pairwise incomparable clones on \mathbb{N} with 2^{\mathfrak 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^{\mathfrak c} clones all with the same n-ary fragment, and all containing the set of all unary operations.
- published version (13p)
Bib entry
@article{Sh:989,
author = {Goldstern, Martin and Shelah, Saharon and S{\'a}gi, G{\'a}bor},
title = {{Very many clones above the unary clone}},
journal = {Algebra Universalis},
fjournal = {Algebra Universalis},
volume = {69},
number = {4},
year = {2013},
pages = {387--399},
issn = {0002-5240},
mrnumber = {3061094},
mrclass = {08A40 (05C25 05C65)},
doi = {10.1007/s00012-013-0236-1},
note = {\href{https://arxiv.org/abs/1108.2061}{arXiv: 1108.2061}},
arxiv_number = {1108.2061}
}