Singular antitone systems

Thomas Scott Blyth; HJ Silva

doi:10.1023/A:1006261921844

Singular antitone systems

Thomas Scott Blyth, HJ Silva

Pure Mathematics

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 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 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 - Sept 1998

Keywords

antitone mapping
endomorphism semigroup
Ockham algebra

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10.1023/A:1006261921844

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title = "Singular antitone systems",

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.",

keywords = "antitone mapping, endomorphism semigroup, Ockham algebra",

author = "Blyth, \{Thomas Scott\} and HJ Silva",

year = "1998",

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doi = "10.1023/A:1006261921844",

language = "English",

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AU - Blyth, Thomas Scott

AU - Silva, HJ

PY - 1998/9

Y1 - 1998/9

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

UR - https://www.scopus.com/pages/publications/0041725532

U2 - 10.1023/A:1006261921844

DO - 10.1023/A:1006261921844

M3 - Article

SN - 0167-8094

VL - 15

SP - 261

EP - 270

JO - Order

JF - Order

IS - 3

ER -

Singular antitone systems

Abstract

Keywords

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