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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS

Published online by Cambridge University Press:  06 September 2013

THOMAS C. CRAVEN*
Affiliation:
Department of Mathematics, University of Hawaii, Honolulu, HI 96822, Hawaii
TARA L. SMITH
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221–0025, Ohio email [email protected]
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Abstract

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Connections between annihilators and ideals in Frobenius and symmetric algebras are used to provide a new proof of a result of Nakayama on quotient algebras, and an application is given to central symmetric algebras.

Type
Research Article
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

References

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