Singular Antitone Systems

T. S. Blyth; H. J. Silva

doi:10.1023/A:1006261921844

Singular Antitone Systems

T. S. Blyth, H. J. Silva

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

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 g^k 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 language	English
Pages (from-to)	261-270
Number of pages	10
Journal	Order
Volume	15
Issue number	3
DOIs	https://doi.org/10.1023/A:1006261921844
Publication status	Published - 1 Jan 1998

Keywords

Antitone mapping
Endomorphism semigroup
Ockham algebra

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10.1023/A:1006261921844

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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.",

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AU - Silva, H. J.

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N2 - 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.

AB - 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.

KW - Antitone mapping

KW - Endomorphism semigroup

KW - Ockham algebra

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U2 - 10.1023/A:1006261921844

DO - 10.1023/A:1006261921844

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JF - Order

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Singular Antitone Systems

Abstract

Keywords

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