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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Some categorical equivalences for $ E$-unitary inverse semigroups


Author: Mario Petrich
Journal: Trans. Amer. Math. Soc. 259 (1980), 493-503
MSC: Primary 20M10; Secondary 18B10
DOI: https://doi.org/10.1090/S0002-9947-1980-0567092-2
MathSciNet review: 567092
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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.


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DOI: https://doi.org/10.1090/S0002-9947-1980-0567092-2
Keywords: E-unitary inverse semigroups, equivalence of categories, McAlister triples, unitary triples
Article copyright: © Copyright 1980 American Mathematical Society