Regular order-preserving transformation semigroups-Reference-Cited by-同舟云学术

Regular order-preserving transformation semigroups

Published:2000-12 Issue:3 Volume:62 Page:511-524
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Kemprasit Yupaporn,Changphas Thawhat

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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