Some categorical equivalences for 𝐸-unitary inverse semigroups

Petrich, Mario

doi:10.1090/S0002-9947-1980-0567092-2

Some categorical equivalences for $E$-unitary inverse semigroups
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by Mario Petrich

Trans. Amer. Math. Soc. 259 (1980), 493-503

DOI: https://doi.org/10.1090/S0002-9947-1980-0567092-2

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Abstract:

The structure of E-unitary inverse semigroups has been described by McAlister and by Reilly and the author. The parameters in the first structure theorem may be made into a category, and the same holds for the parameters in the second structure theorem. We prove that each of these categories is equivalent to the category of E-unitary inverse semigroups and their homomorphisms. We also provide functors between the two first-mentioned categories which are naturally equivalent to the composition of the functors figuring in the categorical equivalence referred to above.

References

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Groups, semilattices and inverse semigroups

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