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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.16044 |
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| _version_ | 1866909994736156672 |
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| author | de Witt, Bill Elliott, Luna |
| author_facet | de Witt, Bill Elliott, Luna |
| contents | We show that the monoids totM_{k,1} introduced by Birget and their generalizations tot nM_{k,r} which extend the Brin-Higman-Thompson groups, can be realized as the endomorphism monoids of higher-dimensional Jónsson-Tarski algebras. We also show how elements of these monoids can be thought of as "rewrite rules". Using these representations, we show that the monoids are finitely presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16044 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Finite Presentability of Brin-Higman-Thompson Monoids via Free Jónsson-Tarski Algebras de Witt, Bill Elliott, Luna Rings and Algebras 20M20, 20M30, 08A35 We show that the monoids totM_{k,1} introduced by Birget and their generalizations tot nM_{k,r} which extend the Brin-Higman-Thompson groups, can be realized as the endomorphism monoids of higher-dimensional Jónsson-Tarski algebras. We also show how elements of these monoids can be thought of as "rewrite rules". Using these representations, we show that the monoids are finitely presented. |
| title | Finite Presentability of Brin-Higman-Thompson Monoids via Free Jónsson-Tarski Algebras |
| topic | Rings and Algebras 20M20, 20M30, 08A35 |
| url | https://arxiv.org/abs/2303.16044 |