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A complete classification of endomorphisms of Kiselman’s semigroup

Year: 2025
Type: article
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 ) .
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4414277702
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Cites: 11
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