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Cayley Symmetries in Associative Algebras

Published online by Cambridge University Press:  20 November 2018

Earl J. Taft
Earl J. Taft*
Affiliation:
Yale University
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Let A be a finite-dimensional associative algebra over a field F. Let R denote the radical of A. Assume that A/R is separable. Then it is well known (the Wedderburn principal theorem) that A possesses a Wedderburn decomposition A = S + R (semi-direct), where S is a separable subalgebra isomorphic with A/R. We call S a Wedderburn factor of A.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 285 - 290
Copyright
Copyright © Canadian Mathematical Society 1963

References

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