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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Multiplication from other operations


Authors: S. Kohn and D. J. Newman
Journal: Proc. Amer. Math. Soc. 27 (1971), 244-246
MSC: Primary 12.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0269629-X
MathSciNet review: 0269629
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Abstract: Given the operations of subtraction and reciprocal-taking we show that the operation of multiplication is determined in any field. The amusing difference is that for characteristic 2 it is not given by a formula while for other characteristics, it is.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0269629-X
Keywords: Field operations, characteristic 2
Article copyright: © Copyright 1971 American Mathematical Society