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dc.contributor.authorStokes, Tim E.
dc.date.accessioned2012-10-30T02:56:35Z
dc.date.available2012-10-30T02:56:35Z
dc.date.copyright2012-10-05
dc.date.issued2012
dc.identifier.citationStokes, T. (2012). Semigroup actions on posets and preimage quasi-orders. Semigroup Forum. Article in press.en_NZ
dc.identifier.issn0037-1912
dc.identifier.urihttps://hdl.handle.net/10289/6765
dc.description.abstractStructures consisting of a semigroup of (partial) functions on a set X, a poset of subsets of X, and a preimage operation linking the two, arise commonly throughout mathematics. The poset may be equipped with one or more set operations, up to Boolean algebra structure. Such structures are finitely axiomatized here in terms of order-preserving semigroup actions on posets. This generalises Schein's axiomatization of semigroups of partial functions equipped with the first projection quasi-orderen_NZ
dc.language.isoen
dc.publisherSpringer-Verlagen_NZ
dc.relation.ispartofSemigroup Forum
dc.subjectfirst projection quasi-orderen_NZ
dc.subjectposeten_NZ
dc.subjectsemigroupen_NZ
dc.subjectsemigroup actionen_NZ
dc.titleSemigroup actions on posets and preimage quasi-ordersen_NZ
dc.typeJournal Articleen_NZ
dc.identifier.doi10.1007/s00233-012-9436-9en_NZ
dc.relation.isPartOfSemigroup Forumen_NZ
pubs.begin-page540en_NZ
pubs.elements-id38154
pubs.end-page558en_NZ
pubs.issue3en_NZ
pubs.volume85en_NZ


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