Abstract
In [7]2 we obtained a satisfactory structure theory for these algebras of finite dimension over F of characteristic 0 by proving that they are trace-admissible. Recent examples by L. A. Kokoris [4] show that the algebras satisfying (1) and (2) are not in general traceadmissible if F is of characteristic p > 2. It is natural to seek a generalization of (commutative) Jordan algebras of characteristic p > 2 in which the algebras are trace-admissible. We find this generalization in the algebras satisfying (1), (2), and
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