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      • Computing and Mathematical Sciences
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      Semigroup actions on posets and preimage quasi-orders

      Stokes, Tim E.
      DOI
       10.1007/s00233-012-9436-9
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      Citation
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      Stokes, T. (2012). Semigroup actions on posets and preimage quasi-orders. Semigroup Forum. Article in press.
      Permanent Research Commons link: https://hdl.handle.net/10289/6765
      Abstract
      Structures 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-order
      Date
      2012
      Type
      Journal Article
      Publisher
      Springer-Verlag
      Collections
      • Computing and Mathematical Sciences Papers [1455]
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