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Isomorphisms and Automorphisms of Witt Rings

Published online by Cambridge University Press:  20 November 2018

David Leep  and
Murray Marshall
David Leep
Affiliation:
University of Kentucky, LexingtonKY, 40506
Murray Marshall
Affiliation:
University of Saskatchewan, SaskatoonSASK., S7N 0W0
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Abstract

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For a field F, char(F) ≠ 2, let WF denote the Witt ring of quadratic forms of F and let denote the multiplicative group of 1-dimensional forms It follows from a construction of D. K. Harrison that if E, F are fields (both of characteristic ≠ 2) and ρ.WE → WF is a ring isomorphism, then there exists a ring isomorphism which “preserves dimension” in the sense that In this paper, the relationship between ρ and is clarified.

Keywords

10C0510C03
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 2 , 01 June 1988 , pp. 250 - 256
Copyright
Copyright © Canadian Mathematical Society 1988

References

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