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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on Moufang Veblen-Wedderburn systems


Author: M. L. Narayana Rao
Journal: Proc. Amer. Math. Soc. 24 (1970), 409-410
MSC: Primary 50.70; Secondary 20.00
MathSciNet review: 0259742
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Abstract: The purpose of this note is to show that a Veblen-Wedderburn system with multiplicative Moufang identity is a near field if its dimension $ d$ over its kern does not exceed $ 7$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1970-0259742-4
PII: S 0002-9939(1970)0259742-4
Keywords: Veblen-Wedderburn systems, Moufang identity, projective planes, near fields, power associativity, di-associativity, associativity
Article copyright: © Copyright 1970 American Mathematical Society