Computing congruences of finite inverse semigroups
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908694519742464 |
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| author | Elliott, Luna Levine, Alex Mitchell, James D. |
| author_facet | Elliott, Luna Levine, Alex Mitchell, James D. |
| contents | In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from the theories of groups, automata, and inverse semigroups. An initial implementation of this algorithm outperforms existing implementations by several orders of magnitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Computing congruences of finite inverse semigroups Elliott, Luna Levine, Alex Mitchell, James D. Group Theory Data Structures and Algorithms 20M18, 20-08, 20M30 In this paper we present a novel algorithm for computing a congruence on an inverse semigroup from a collection of generating pairs. This algorithm uses a myriad of techniques from the theories of groups, automata, and inverse semigroups. An initial implementation of this algorithm outperforms existing implementations by several orders of magnitude. |
| title | Computing congruences of finite inverse semigroups |
| topic | Group Theory Data Structures and Algorithms 20M18, 20-08, 20M30 |
| url | https://arxiv.org/abs/2406.09281 |