Endomorphisms of the semigroup of order-preserving mappings

Research output: Contribution to journalArticle

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

Cite this