On idempotent-generated subsemigroups of principally ordered regular semigroups

T S  Blyth; G A  Pinto

doi:10.1007/s00233-002-0018-0

On idempotent-generated subsemigroups of principally ordered regular semigroups

T S Blyth, G A Pinto

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

Abstract

Here we consider, in a principally ordered regular semigroup in which the operation x --> x* is weakly isotone, the structure of the *-subsemigroup that is generated by a pair of comparable idempotents.

Original language	English
Pages (from-to)	47-58
Number of pages	12
Journal	Semigroup Forum
Volume	68
DOIs	https://doi.org/10.1007/s00233-002-0018-0
Publication status	Published - Jan 2004

Keywords

regular semigroup
idempotents
naturally based

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10.1007/s00233-002-0018-0

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title = "On idempotent-generated subsemigroups of principally ordered regular semigroups",

abstract = "Here we consider, in a principally ordered regular semigroup in which the operation x --> x* is weakly isotone, the structure of the *-subsemigroup that is generated by a pair of comparable idempotents.",

keywords = "regular semigroup, idempotents, naturally based",

author = "Blyth, {T S} and Pinto, {G A}",

year = "2004",

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doi = "10.1007/s00233-002-0018-0",

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volume = "68",

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journal = "Semigroup Forum",

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AU - Blyth, T S

AU - Pinto, G A

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N2 - Here we consider, in a principally ordered regular semigroup in which the operation x --> x* is weakly isotone, the structure of the *-subsemigroup that is generated by a pair of comparable idempotents.

AB - Here we consider, in a principally ordered regular semigroup in which the operation x --> x* is weakly isotone, the structure of the *-subsemigroup that is generated by a pair of comparable idempotents.

KW - regular semigroup

KW - idempotents

KW - naturally based

U2 - 10.1007/s00233-002-0018-0

DO - 10.1007/s00233-002-0018-0

M3 - Article

SN - 1432-2137

VL - 68

SP - 47

EP - 58

JO - Semigroup Forum

JF - Semigroup Forum

ER -

On idempotent-generated subsemigroups of principally ordered regular semigroups

Abstract

Keywords

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