De Biao Li, Vítor Hugo Fernandes
Abstract
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In this paper, we characterize the monoid of endomorphisms of the semigroup of all monotone full transformations of a finite chain, as well as the monoids of endomorphisms of the semigroup of all monotone partial transformations and of the semigroup of all monotone partial permutations of a finite chain.
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In this paper, we characterize the monoid of endomorphisms of the semigroup of all monotone full transformations of a finite chain, as well as the monoids of endomorphisms of the semigroup of all monotone partial transformations and of the semigroup of all monotone partial permutations of a finite chain.
Key concepts: Endomorphism, Semigroup, Monotone polygon, Monoid, Mathematics, Bicyclic semigroup, Pure mathematics, Cancellative semigroup