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arXiv · 2309.11432

Semiring and involution identities of powers of inverse semigroups

Igor Dolinka·Sergey V. Gusev·Mikhail V. Volkov
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Abstract

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.

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Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov. 2023-09-20. Semiring and involution identities of powers of inverse semigroups. https://doi.org/10.1080/00927872.2023.2277413

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