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Endomorphisms of the semigroup of order-preserving mappings

Authors :
Vítor H. Fernandes
Victor Maltcev
James D. Mitchell
Manuel M. Jesus
Source :
Semigroup Forum. 81:277-285
Publication Year :
2010
Publisher :
Springer Science and Business Media LLC, 2010.

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.

Subjects

Subjects :
Discrete mathematics
Pure mathematics
Algebra and Number Theory
Endomorphism
Mathematics::Operator Algebras
Semigroup
Image (category theory)
Mathematics::Rings and Algebras
Type (model theory)
Automorphism
Chain (algebraic topology)
Order (group theory)
Algebra over a field
Mathematics

Details

ISSN :
14322137 and 00371912
Volume :
81
Database :
OpenAIRE
Journal :
Semigroup Forum
Accession number :
edsair.doi...........31db718bb2c520c6aa5f8b5d0e751b73
Full Text :
https://doi.org/10.1007/s00233-010-9220-7
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