Singular Antitone Systems

T. S. Blyth, H. J. Silva

Research output: Contribution to journalArticle

Abstract

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
JournalOrder
Volume15
Issue number3
DOIs
Publication statusPublished - 1 Jan 1998

Fingerprint

Ockham Algebra
Singular Systems
Algebra
Subdirectly Irreducible
Dual space
Ordered Set
Endomorphism
Cardinality
Semigroup
Odd
Necessary Conditions
Integer
Sufficient Conditions

Keywords

  • Antitone mapping
  • Endomorphism semigroup
  • Ockham algebra

Cite this

Blyth, T. S. ; Silva, H. J. / Singular Antitone Systems. In: Order. 1998 ; Vol. 15, No. 3. pp. 261-270.
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Singular Antitone Systems. / Blyth, T. S.; Silva, H. J.

In: Order, Vol. 15, No. 3, 01.01.1998, p. 261-270.

Research output: Contribution to journalArticle

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