NOVIKOV-JORDAN ALGEBRAS

ABSTRACT Algebras with the identity are studied. Novikov algebras under Jordan multiplication and Leibniz dual algebras satisfy this identity. If algebra with such identity has a unit, then it is associative and commutative. Keywords: Novikov algebrasJordan algebrasLeibniz dual algebrasPolynomial identities ACKNOWLEDGMENT I am thankful to referee for careful reading the text and essential remarks. I am grateful to INTAS foundation and Royal Swedish Academy of Sciences for support.

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