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- W2989718533 abstract "We prove that the forgetful functor from the category of Boolean inverse semigroups to the category of inverse semigroups with zero has a left adjoint. This left adjoint is what we term the ‘Booleanization’. We establish the exact theoretical connection between the Booleanization of an inverse semigroup and Paterson’s universal groupoid of the inverse semigroup and we explicitly compute the concrete Booleanization of the polycyclic inverse monoid $$P_{n}$$ and demonstrate its affiliation with the Cuntz–Toeplitz algebra." @default.
- W2989718533 created "2019-12-05" @default.
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- W2989718533 date "2019-11-19" @default.
- W2989718533 modified "2023-09-26" @default.
- W2989718533 title "The Booleanization of an inverse semigroup" @default.
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- W2989718533 doi "https://doi.org/10.1007/s00233-019-10071-8" @default.
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