A survey of clones on infinite sets
Rings and Algebras
2008-01-15 v2 Logic
Abstract
A clone on a set X is a set of finitary operations on X which contains all projections and which is moreover closed under functional composition. Ordering all clones on X by inclusion, one obtains a complete algebraic lattice, called the clone lattice. We summarize what we know about the clone lattice on an infinite base set X and formulate what we consider the most important open problems.
Keywords
Cite
@article{arxiv.math/0701030,
title = {A survey of clones on infinite sets},
author = {Martin Goldstern and Michael Pinsker},
journal= {arXiv preprint arXiv:math/0701030},
year = {2008}
}
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37 pages