Abelianness and centrality in inverse semigroups
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866914304148635648 |
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| author | Kinyon, Michael Stanovský, David |
| author_facet | Kinyon, Michael Stanovský, David |
| contents | We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of the corresponding congruence pairs. We relate centrality to conjugation in inverse semigroups. Subsequently we prove that solvable and nilpotent inverse semigroups are groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_13805 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Abelianness and centrality in inverse semigroups Kinyon, Michael Stanovský, David Group Theory 20M18, 20F19, 08A30 We adapt the abstract concepts of abelianness and centrality of universal algebra to the context of inverse semigroups. We characterize abelian and central congruences in terms of the corresponding congruence pairs. We relate centrality to conjugation in inverse semigroups. Subsequently we prove that solvable and nilpotent inverse semigroups are groups. |
| title | Abelianness and centrality in inverse semigroups |
| topic | Group Theory 20M18, 20F19, 08A30 |
| url | https://arxiv.org/abs/2209.13805 |