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On Homomorphic Images of Special Jordan Algebras

Published online by Cambridge University Press:  20 November 2018

P. M. Cohn
P. M. Cohn*
Affiliation:
The University, Manchester
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A linear algebra is called a Jordan algebra if it satisfies the identities

(1) ab = ba, (a2b) a = a2(ba).

It is well known that a linear algebra S over a field of characteristic different from two is a Jordan algebra if there is an isomorphism a → a of the vector-space underlying S into the vector-space of some associative algebra A such that

1,

where the dot denotes the multiplication in A. Such an algebra S is called a special Jordan algebra.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 6 , 1954 , pp. 253 - 264
Copyright
Copyright © Canadian Mathematical Society 1954

References

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