On Homomorphic Images of Special Jordan Algebras
- 1 January 1954
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 6, 253-264
- https://doi.org/10.4153/cjm-1954-026-9
Abstract
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.Keywords
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