An anisotropic locally hyperbolic quadratic space
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- Proc. Amer. Math. Soc. 85 (1982), 529-530 Request permission
Abstract:
We construct a semilocal normal domain $A$ and a quadratic space over $A$, which is locally hyperbolic but anisotropic. This answers a question of H. Bass.References
- Hyman Bass, Quadratic modules over polynomial rings, Contributions to algebra (collection of papers dedicated to Ellis Kolchin), Academic Press, New York, 1977, pp. 1–23. MR 0472799
- M.-A. Knus, M. Ojanguren, and R. Sridharan, Quadratic forms and Azumaya algebras, J. Reine Angew. Math. 303(304) (1978), 231–248. MR 514682
- P. Samuel, Lectures on unique factorization domains, Tata Institute of Fundamental Research Lectures on Mathematics, No. 30, Tata Institute of Fundamental Research, Bombay, 1964. Notes by M. Pavman Murthy. MR 0214579
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 85 (1982), 529-530
- MSC: Primary 15A63; Secondary 16A16
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660597-2
- MathSciNet review: 660597