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A special linear associative algebra

Published online by Cambridge University Press:  20 January 2009

J. H. M. Wedderburn
J. H. M. Wedderburn
Affiliation:
Princeton University, Princeton, N.J.
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The following algebra possesses certain points of interest and is, I think, worth putting on record; it includes the algebra of matrices as a special case. Consider the algebra H over a ring F defined by

where hpq(p, q = 1, 2, …., n) are linearly independent over F. If are any elements of H, then from (1)

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 5 , Issue 4 , September 1938 , pp. 169 - 170
Copyright
Copyright © Edinburgh Mathematical Society 1938

References

1 Question 3700, Amer. Math. Monthly, 41 (1934), p 521 and 43 (1936), p. 378.Google Scholar