A complete classification of endomorphisms of Kiselman’s semigroup
Luka Andrenšek · Semigroup Forum · 2025
Abstract Kiselman’s semigroup $$K_n$$ K n was studied by Kudryavtseva and Mazorchuk, who posed the question of whether it is possible to classify all endomorphisms of $$K_n$$ K n . In this paper, we provide a complete classification of endomorphisms of $$K_n$$ K n and present a Boolean matrix monoid that is isomorphic to $$\text {End}(K_n)$$ End ( K n ) .