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math.GR2023★ 3 cited
Semiring and involution identities of powers of inverse semigroups
Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov
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 condition…
math.GR2023
Prefix monoids of groups and right units of special inverse monoids
Igor Dolinka, Robert D. Gray
A prefix monoid is a finitely generated submonoid of a finitely presented group generated by the prefixes of its defining relators. Important results of Guba (1997), and of Ivanov,…