Noncommutative jordan algebras with commutators satisfying an alternativity condition.
The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.
DEPARTMENT OF MATHEMATICS, UNIVERSITY OF CALIFORNIA (RIVERSIDE).
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