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Regular order-preserving transformation semigroups

Published online by Cambridge University Press:  17 April 2009

Yupaporn Kemprasit  and
Thawhat Changphas
Yupaporn Kemprasit
Affiliation:
Department of Mathematics, Chulalongkorn University, Bangkok 10330, Thailand
Thawhat Changphas
Affiliation:
Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand
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Abstract

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The semigroup OT (X) of all order-preserving total transformations of a finite chain X is known to be regular. We extend this result to subchains of Z; and we characterise when OT (X) is regular for an interval X in R. We also consider the corresponding idea for partial transformations of arbitrary chains and posets.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 511 - 524
Copyright
Copyright © Australian Mathematical Society 2000

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