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Non-Commutative Algebra*

Published online by Cambridge University Press:  03 November 2016

H. W. Turnbull
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Extract

The whole of ordinary algebra, dealing with real or complex numbers a, b, c, is based on three fundamental laws which are usually called:

  1. I. The Associative Law,

  2. II. The Distributive Law,

  3. III. The Commutative Law.

Type
Research Article
Information
The Mathematical Gazette , Volume 14 , Issue 192 , January 1928 , pp. 12 - 22
Copyright
Copyright © Mathematical Association 1928

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Footnotes

*

A lecture delivered at the Leeds Meeting of the British Association, September, 1927.

References

page 19 note * Crelle, Bd. 84. A proof is given by 1. B. Dickson in the Cambridge University Tract Linear Algebras (1914), p. 10.

page 21 note * I understand, from Dr. Heisenberg, that the conditions of convergency or divergency inherent in such matrices have quite recently been studied by Prof. Hilbert.