Endomorphisms of the semigroup of order-preserving mappings

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

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


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 languageEnglish
Pages (from-to)277-285
Number of pages9
JournalSemigroup Forum
Early online date26 Mar 2010
Publication statusPublished - 2010


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