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arXiv · 2506.03604

A complete classification of endomorphisms of Kiselman's semigroup

Luka Andrensek
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Abstract

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

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Luka Andrensek. 2025-06-04. A complete classification of endomorphisms of Kiselman's semigroup. https://doi.org/10.1007/s00233-025-10577-4

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