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Proceedings of the American Mathematical Society

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



An anisotropic locally hyperbolic quadratic space

Author: Inta Bertuccioni
Journal: Proc. Amer. Math. Soc. 85 (1982), 529-530
MSC: Primary 15A63; Secondary 16A16
MathSciNet review: 660597
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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 [Enhancements On Off] (What's this?)

  • 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

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Article copyright: © Copyright 1982 American Mathematical Society