Endomorphisms of the semigroup of order-preserving mappings

Manuel Messias de Jesus; Victor Maltcev; James David Mitchell; Vitor Hugo Fernandes

doi:10.1007/s00233-010-9220-7

Endomorphisms of the semigroup of order-preserving mappings

Manuel Messias de Jesus, Victor Maltcev, James David Mitchell, Vitor Hugo Fernandes

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	English
Pages (from-to)	277-285
Number of pages	9
Journal	Semigroup Forum
Volume	81
Early online date	26 Mar 2010
DOIs	https://doi.org/10.1007/s00233-010-9220-7
Publication status	Published - 2010

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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",

author = "{de Jesus}, {Manuel Messias} and Victor Maltcev and Mitchell, {James David} and Fernandes, {Vitor Hugo}",

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AU - de Jesus, Manuel Messias

AU - Maltcev, Victor

AU - Mitchell, James David

AU - Fernandes, Vitor Hugo

PY - 2010

Y1 - 2010

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

U2 - 10.1007/s00233-010-9220-7

DO - 10.1007/s00233-010-9220-7

M3 - Article

SN - 1432-2137

VL - 81

SP - 277

EP - 285

JO - Semigroup Forum

JF - Semigroup Forum

ER -

Endomorphisms of the semigroup of order-preserving mappings

Abstract

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