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Algebras generated by symmetric idempotents

Published online by Cambridge University Press:  17 April 2009

David Choate
David Choate
Affiliation:
Department of Mathematics, Xavier University of Louisiana, New Orleans, Louisiana 70125, USA.
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Let F be a field. If A is an F-algebra with involution that is generated (as a space) by symmetric idempotents, then A is a subdirect product of copies of F if and only if every idempotent in A is symmetric.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 3 , June 1984 , pp. 303 - 308
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Chaung, C.L. and Lee, P.H., “Idempotents in simple rings”, J. Algebra 56 (1979), 510–515.CrossRefGoogle Scholar
[2]Herstein, I.N., Rings with involution (University of Chicago Press, Chicago, 1979).Google Scholar