ScholarLens Back to search
2000•Bulletin of the Australian Mathematical SocietyOpen access

Regular order-preserving transformation semigroups

Yupaporn Kemprasit, Thawhat Changphas

Open full text 15 citations

Abstract

The semigroupOT(X) of all order-preserving total transformations of a finite chainXis known to be regular. We extend this result to subchains ofZ; and we characterise whenOT(X) is regular for an intervalXinR. We also consider the corresponding idea for partial transformations of arbitrary chains and posets.

Open-access reader

About this research paper

What this paper is about

The semigroupOT(X) of all order-preserving total transformations of a finite chainXis known to be regular. We extend this result to subchains ofZ; and we characterise whenOT(X) is regular for an intervalXinR. We also consider the corresponding idea for partial transformations of arbitrary chains and posets.

Why it matters

OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

The semigroupOT(X) of all order-preserving total transformations of a finite chainXis known to be regular. We extend this result to subchains ofZ; and we characterise whenOT(X) is regular for an intervalXinR. We also consider the corresponding idea for partial transformations of arbitrary chains and posets.

Key concepts: Mathematics, Semigroup, Order (exchange), Transformation (genetics), Partially ordered set, Interval (graph theory), Pure mathematics, Chain (unit)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Regular order-preserving transformation semigroups — Research Paper | ScholarLens