Presentations for monoids of endomorphisms of a star graph
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912174600880128 |
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| author | Fernandes, Vitor H. Koppitz, Jörg Musunthia, Tiwadee |
| author_facet | Fernandes, Vitor H. Koppitz, Jörg Musunthia, Tiwadee |
| contents | In this paper, we consider the monoids of all endomorphisms, of all weak endomorphisms, of all strong endomorphisms and of all strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to exhibit a presentation for each of them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Presentations for monoids of endomorphisms of a star graph Fernandes, Vitor H. Koppitz, Jörg Musunthia, Tiwadee Rings and Algebras Combinatorics 20M20, 20M05, 05C12, 05C25 In this paper, we consider the monoids of all endomorphisms, of all weak endomorphisms, of all strong endomorphisms and of all strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to exhibit a presentation for each of them. |
| title | Presentations for monoids of endomorphisms of a star graph |
| topic | Rings and Algebras Combinatorics 20M20, 20M05, 05C12, 05C25 |
| url | https://arxiv.org/abs/2501.00222 |