A survey of clones on infinite sets

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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.
37 pages

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Rings and Algebras, Logic, 08A40; 08A05

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http://salesiana.dossiersoluciones.com/handle/123456789/145925

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701030
 http://arxiv.org/abs/math/0701030

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arXiv