Title | Endomorphisms of the semigroup of order-preserving mappings |
Publication Type | Unpublished |
Year of Publication | 2009 |
Authors | Fernandes VH, Jesus MM, Maltcev V, Mitchell JD |
Series Title | Preprint |
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. |
URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2009/6_09.pdf |