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 language | Unknown |
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Pages (from-to) | 277-285 |
Journal | Semigroup Forum |
Volume | 81 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2010 |