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Proceedings of the American Mathematical Society

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Nondegenerate higher degree forms over Dedekind domains

Authors: D. B. Coleman and Joel Cunningham
Journal: Proc. Amer. Math. Soc. 52 (1975), 65-68
MSC: Primary 10C05; Secondary 13F05
MathSciNet review: 0392822
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Abstract: It is determined which finitely generated projective modules over a Dedekind domain admit nondegenerate symmetric $ r$-linear forms.

References [Enhancements On Off] (What's this?)

  • [1] D. K. Harrison, A Grothendieck ring of higher degree forms, University of Oregon Math. Dept., 1973 (mimeographed preprint). MR 0379370 (52:275)
  • [2] H. Bass, Algebraic $ K$-theory, Benjamin, New York, 1968. MR 40 #2736. MR 0249491 (40:2736)

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Keywords: Dedekind domain, projective module, nondegenerate form
Article copyright: © Copyright 1975 American Mathematical Society

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