The Brauer group of a closed category
HTML articles powered by AMS MathViewer
- by J. Fisher-Palmquist PDF
- Proc. Amer. Math. Soc. 50 (1975), 61-67 Request permission
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.References
- Bernice Auslander, The Brauer group of a ringed space, J. Algebra 4 (1966), 220–273. MR 199213, DOI 10.1016/0021-8693(66)90040-8
- Maurice Auslander and Oscar Goldman, The Brauer group of a commutative ring, Trans. Amer. Math. Soc. 97 (1960), 367–409. MR 121392, DOI 10.1090/S0002-9947-1960-0121392-6 H. Bass, The Morita theorems, University of Oregon (mimeographed notes). —, Lectures on topics in algebraic $K$-theory, Tata Institute of Fundamental Research Lectures on Math., no. 41, Tata Institute of Fundamental Research, Bombay, India, 1967. MR 43 #4885.
- Samuel Eilenberg and G. Max Kelly, Closed categories, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 421–562. MR 0225841
- Janet Fisher-Palmquist and David C. Newell, Triples on functor categories, J. Algebra 25 (1973), 226–258. MR 323865, DOI 10.1016/0021-8693(73)90043-4
- J. Fisher-Palmquist and P. H. Palmquist, Morita contexts of enriched categories, Proc. Amer. Math. Soc. 50 (1975), 55–60. MR 419559, DOI 10.1090/S0002-9939-1975-0419559-9
- Saunders MacLane, Categories for the working mathematician, Graduate Texts in Mathematics, Vol. 5, Springer-Verlag, New York-Berlin, 1971. MR 0354798
Additional Information
- © Copyright 1975 American Mathematical Society
- 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