Novikov-Jordan algebras
A. S. Dzhumadil'daev
Abstract
Algebras with identity (a b) (c d) -(a d)(c b) =(a,b,c) d-(a,d,c) b are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has unit, then it is associative and commutative.
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