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Some Lie Admissible Algebras

Published online by Cambridge University Press:  20 November 2018

P. J. Laufer  and
M. L. Tomber
P. J. Laufer
Affiliation:
College Militaire Royal de St-Jean
M. L. Tomber
Affiliation:
Michigan State University
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Several studies have been made to obtain larger classes of non-associative algebras from classes of algebras with a known structure. Thus, we have right alternative algebras (2)* and non-commutative Jordan algebras (6), (7), (8), and (9). These algebras are defined by a subset of the set of identities of the algebras from which they derive their names. Also, Albert (1), among others has studied Jordan admissible algebras. This paper is concerned with algebras which are related to Lie algebras in that they satisfy some of the identities of a Lie algebra and are Lie admissible. Theorem 2 answers a question raised by Albert in (1).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 287 - 292
Copyright
Copyright © Canadian Mathematical Society 1962

References

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