Semiring and involution identities of powers of inverse semigroups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909134403665920 |
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| author | Dolinka, Igor Gusev, Sergey V. Volkov, Mikhail V. |
| author_facet | Dolinka, Igor Gusev, Sergey V. Volkov, Mikhail V. |
| contents | The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural conditions on a finite inverse semigroup guaranteeing that neither semiring nor involution identities of the involution semiring of its subsets admit a finite identity basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_11432 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Semiring and involution identities of powers of inverse semigroups Dolinka, Igor Gusev, Sergey V. Volkov, Mikhail V. Group Theory 16Y60, 20M18, 08B05 The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural conditions on a finite inverse semigroup guaranteeing that neither semiring nor involution identities of the involution semiring of its subsets admit a finite identity basis. |
| title | Semiring and involution identities of powers of inverse semigroups |
| topic | Group Theory 16Y60, 20M18, 08B05 |
| url | https://arxiv.org/abs/2309.11432 |