Endomorphisms of the semigroup of order-preserving mappings

Manuel Messias Rocha de Jesus; Vítor Hugo Bento Dias Fernandes

doi:10.1007/s00233-010-9220-7

Endomorphisms of the semigroup of order-preserving mappings

Manuel Messias Rocha de Jesus, Vítor Hugo Bento Dias Fernandes

DM - Departamento de Matemática

Research output: Contribution to journal › Article

10 Citations (Scopus)

Abstract

We characterize the endomorphisms of the semigroup of all order-preserving mappings on a finite chain. We show that there are three types of endomorphism: automorphisms, constants, and a certain type of endomorphism with two idempotents in the image.

Original language	Unknown
Pages (from-to)	277-285
Journal	Semigroup Forum
Volume	81
Issue number	2
DOIs	https://doi.org/10.1007/s00233-010-9220-7
Publication status	Published - 1 Jan 2010

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10.1007/s00233-010-9220-7

Cite this

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title = "Endomorphisms of the semigroup of order-preserving mappings",

abstract = "We characterize the endomorphisms of the semigroup of all order-preserving mappings on a finite chain. We show that there are three types of endomorphism: automorphisms, constants, and a certain type of endomorphism with two idempotents in the image.",

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author = "Jesus, {Manuel Messias Rocha de} and Fernandes, {V{\'i}tor Hugo Bento Dias}",

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T1 - Endomorphisms of the semigroup of order-preserving mappings

AU - Jesus, Manuel Messias Rocha de

AU - Fernandes, Vítor Hugo Bento Dias

PY - 2010/1/1

Y1 - 2010/1/1

N2 - We characterize the endomorphisms of the semigroup of all order-preserving mappings on a finite chain. We show that there are three types of endomorphism: automorphisms, constants, and a certain type of endomorphism with two idempotents in the image.

AB - We characterize the endomorphisms of the semigroup of all order-preserving mappings on a finite chain. We show that there are three types of endomorphism: automorphisms, constants, and a certain type of endomorphism with two idempotents in the image.

KW - mappings

KW - chain

KW - finite

KW - transformations

KW - Semigroups

KW - Order-preserving

KW - Endomorphisms

U2 - 10.1007/s00233-010-9220-7

DO - 10.1007/s00233-010-9220-7

M3 - Article

VL - 81

SP - 277

EP - 285

JO - Semigroup Forum

JF - Semigroup Forum

SN - 0037-1912

IS - 2

ER -