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Non-Commutative Associative Operations, and A Non-Commutative Group Structure, on the Reals

Published online by Cambridge University Press:  03 November 2016

J. F. Rigby  and
James Wiegold
J. F. Rigby
Affiliation:
University College, Cathays Park, Cardiff
James Wiegold
Affiliation:
University College, Cathays Park, Cardiff
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Extract

In his recent article [1] F. J. Budden produced a binary operation on the set R0 of non-zero real numbers that was associative but not commutative, namely

Type
Research Article
Information
The Mathematical Gazette , Volume 56 , Issue 395 , February 1972 , pp. 33 - 35
Copyright
Copyright © Mathematical Association 1972

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References

1. Budden, P. J. A non-commutative, associative operation on the reals, Math. Gazette, LIV, 368–372 (1970).Google Scholar
2. Grimsditch, D. S. A non-commutative, associative operation, Math. Gazette, LV, 321–322 (1971).Google Scholar