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Endomorphisms of the semigroup of order-preserving mappings

TitleEndomorphisms of the semigroup of order-preserving mappings
Publication TypeUnpublished
Year of Publication2009
AuthorsFernandes VH, Jesus MM, Maltcev V, Mitchell JD
Series TitlePreprint
AbstractWe 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.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2009/6_09.pdf