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On Gleason's Definition of Quadratic Forms

Published online by Cambridge University Press:  20 November 2018

T. M. K. Davison
T. M. K. Davison*
Affiliation:
Department of Mathematical, Sciences Mcmaster University1280 Main Street West Hamilton, Ontario L8S 4K1
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Suppose R is a commutative ring with identity. Let M be an R -module, and suppose f is a function from M to R. How do we characterize the property that f be a quadratic form?

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 233 - 236
Copyright
Copyright © Canadian Mathematical Society 1981

References

1. Gleason, A. M., The definition of a quadratic form. Amer. Math. Monthly. 73 (1966) 1049-1056.Google Scholar
2. Jacobson, N., Basic Algebra I. W. H. Freeman, San Francisco 1974.Google Scholar
3. Jordan, P. and von Neumann, J., On inner products in linear, metric spaces. Ann of Math. (2) 36 (1935) 719-723.Google Scholar