Strongly nonfinitely based monoids
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913725844291584 |
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| author | Gusev, Sergey V. Sapir, Olga B. Volkov, Mikhail V. |
| author_facet | Gusev, Sergey V. Sapir, Olga B. Volkov, Mikhail V. |
| contents | We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based finite semigroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_12426 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strongly nonfinitely based monoids Gusev, Sergey V. Sapir, Olga B. Volkov, Mikhail V. Group Theory 20M07 We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based finite semigroup. |
| title | Strongly nonfinitely based monoids |
| topic | Group Theory 20M07 |
| url | https://arxiv.org/abs/2301.12426 |