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SYMMETRIC ALGEBRAS OVER RINGS AND FIELDS

Part of: Basic linear algebra Modules, bimodules and ideals

Published online by Cambridge University Press:  06 September 2013

THOMAS C. CRAVEN  and
TARA L. SMITH
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 tara.smith@uc.edu
*
✉tom@math.hawaii.edu
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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.

Keywords

symmetric algebraFrobenius

MSC classification

Secondary: 16D99: None of the above, but in this section 15A63: Quadratic and bilinear forms, inner products
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 89 , Issue 3 , June 2014 , pp. 466 - 472
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

References

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