The radical of a jordan algebra.
In this paper we define a Jacobson radical for Jordan algebras analogous to that for associative algebras and show that it enjoys many of the properties of the associative radical. We then relate the corresponding notion of "semisimplicity" to the previously defined notion of "nondegeneracy" (Jacobson, N., these Proceedings, 55, 243-251 (1966)).
McCrimmon
K
K
UNIVERSITY OF VIRGINIA.