Semiring and involution identities of powers of inverse semigroups
Group Theory
2024-03-13 v1
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.
Keywords
Cite
@article{arxiv.2309.11432,
title = {Semiring and involution identities of powers of inverse semigroups},
author = {Igor Dolinka and Sergey V. Gusev and Mikhail V. Volkov},
journal= {arXiv preprint arXiv:2309.11432},
year = {2024}
}
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9 pages