A complete classification of endomorphisms of Kiselman's semigroup

Abstract

Kiselman's semigroup Kn was studied by Kudryavtseva and Mazorchuk, who posed the question of whether it is possible to classify all endomorphisms of Kn. In this paper, we provide a complete classification of endomorphisms of Kn and present a Boolean matrix monoid that is isomorphic to End(Kn).

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