The minimal clones above the permutations
Rings and Algebras
2007-05-23 v1 Logic
Abstract
We determine the atoms of the interval of the clone lattice consisting of those clones which contain all permutations, on an infinite base set. This is equivalent to the description of the atoms of the lattice of transformation monoids above the permutations.
Keywords
Cite
@article{arxiv.math/0512367,
title = {The minimal clones above the permutations},
author = {Hajime Machida and Michael Pinsker},
journal= {arXiv preprint arXiv:math/0512367},
year = {2007}
}
Comments
30 pages!