Semiring and involution identities of powers of inverse semigroups
| Autor: | Dolinka, Igor, Gusev, Sergey V., Volkov, Mikhail V. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Communications in Algebra 52, No. 5 (2024), 1922-1929 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1080/00927872.2023.2277413 |
| Popis: | 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. Comment: 9 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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