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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The Brauer group of a closed category


Author: J. Fisher-Palmquist
Journal: Proc. Amer. Math. Soc. 50 (1975), 61-67
MSC: Primary 18G99; Secondary 13A20
DOI: https://doi.org/10.1090/S0002-9939-1975-0393195-5
MathSciNet review: 0393195
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Abstract: The Brauer group of a finitely bicomplete closed category is defined. This group gives known Brauer groups for the appropriate choices of the closed category. There is a Brauer group functor from the category of commutative monoids in the closed category to the category of Abelian groups.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0393195-5
Keywords: Closed category, Brauer group, monoid, atom, dense, equivalence of categories, monoidal category
Article copyright: © Copyright 1975 American Mathematical Society