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NOVIKOV-JORDAN ALGEBRAS

Askar Dzhumadil’daev Institute of Mathematics and S. Demirel University, Almaty, Kazakhstan
2002en
ABI

Abstract

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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