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 › peer-review

16 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

Access to Document

10.1007/s00233-010-9220-7

Cite this

@article{b1e9e49429ed40e1b85c48a30c53ecc2,

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.",

keywords = "mappings, chain, finite, transformations, Semigroups, Order-preserving, Endomorphisms",

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

year = "2010",

month = jan,

day = "1",

doi = "10.1007/s00233-010-9220-7",

language = "Unknown",

volume = "81",

pages = "277--285",

journal = "Semigroup Forum",

issn = "0037-1912",

publisher = "Springer",

number = "2",

}

TY - JOUR

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

SN - 0037-1912

VL - 81

SP - 277

EP - 285

JO - Semigroup Forum

JF - Semigroup Forum

IS - 2

ER -