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A note on Baric algebras

Published online by Cambridge University Press:  17 April 2009

Raúl Andrade  and
Alicia Labra
Raúl Andrade
Affiliation:
Departamento de Matemáticas Facultad de Ciencias, Universidad de Chile, Casilla 653 Santiago, Chile
Alicia Labra
Affiliation:
Departamento de Matemáticas Facultad de Ciencias, Universidad de Chile, Casilla 653 Santiago, Chile
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In this paper we present a characterization of baric algebras. In particular we study those in which the identity x3 = w(x)x2 holds. Moreover, for every field K, we prove that this identity guarantees that the annihilator of Ker (w) is an ideal in A and we give example of a subspace of Ker (w) whose annihilator is not an ideal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 3 , December 1993 , pp. 371 - 377
Copyright
Copyright © Australian Mathematical Society 1993

References

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