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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?)

  • [1] 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
  • [2] M.-A. Knus, M. Ojanguren, and R. Sridharan, Quadratic forms and Azumaya algebras, J. Reine Angew. Math. 303/304 (1978), 231–248. MR 514682
  • [3] P. Samuel, Lectures on unique factorization domains, Notes by M. Pavman Murthy. Tata Institute of Fundamental Research Lectures on Mathematics, No. 30, Tata Institute of Fundamental Research, Bombay, 1964. MR 0214579

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DOI: https://doi.org/10.1090/S0002-9939-1982-0660597-2
Article copyright: © Copyright 1982 American Mathematical Society