Endomorphisms of the semigroup of order-preserving mappings

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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 languageUnknown
Pages (from-to)277-285
JournalSemigroup Forum
Volume81
Issue number2
DOIs
Publication statusPublished - 1 Jan 2010

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