Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-24T14:47:42.424Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-Commutative Algebra*

Published online by Cambridge University Press:  03 November 2016

H. W. Turnbull
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.