Singular Antitone Systems

T. S. Blyth, H. J. Silva

Research output: Contribution to journalArticlepeer-review


Given an ordered set P and an antitone map g: P → P, we obtain necessary and sufficient conditions for the existence of an odd positive integer k such that gk is isotone. The results obtained have a natural application to the dual space of an Ockham algebra. In particular, we determine the cardinality of the endomorphism semigroup of a finite subdirectly irreducible Ockham algebra.

Original languageEnglish
Pages (from-to)261-270
Number of pages10
Issue number3
Publication statusPublished - 1 Jan 1998


  • Antitone mapping
  • Endomorphism semigroup
  • Ockham algebra

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