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On Cayley-Dickson Rings

Published online by Cambridge University Press:  20 November 2018

Daniel J. Britten
Daniel J. Britten*
Affiliation:
University of Windsor, Windsor, Ontario
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M. Slater has shown that a prime alternative (not associative) ring R such that 3R≠0 is a Cayley-Dickson ring, [7], That is, if F is the field of quotients of the center, Z, of R then F ⊗Z R is a Cayley-Dickson algebra.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 5 , February 1975 , pp. 625 - 627
Copyright
Copyright © Canadian Mathematical Society 1975

References

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