A survey of clones on infinite sets

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dc.creatorGoldstern, Martin
dc.creatorPinsker, Michael
dc.date2006-12-31
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:25Z
dc.date.available2026-07-07T08:54:25Z
dc.descriptionA 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.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0701030
dc.identifierhttp://arxiv.org/abs/math/0701030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145925
dc.subjectRings and Algebras
dc.subjectLogic
dc.subject08A40; 08A05
dc.titleA survey of clones on infinite sets
dc.typetext

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