A complete classification of endomorphisms of Kiselman's semigroup
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915502030323712 |
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| author | Andrensek, Luka |
| author_facet | Andrensek, Luka |
| contents | 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 $\text{End}(K_n)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A complete classification of endomorphisms of Kiselman's semigroup Andrensek, Luka Group Theory 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 $\text{End}(K_n)$. |
| title | A complete classification of endomorphisms of Kiselman's semigroup |
| topic | Group Theory |
| url | https://arxiv.org/abs/2506.03604 |