Novikov-Jordan algebras

Details Novikov-Jordan algebras Novikov-Jordan algebras

2002-02-05

arxiv.org/abs/math/0202044v2

Mathematics

Rings and Algebras

30 pages, LaTeX

Scientific paper

Algebras with identity $(a\star b)\star (c\star d) -(a\star d)\star(c\star
b)$ $=(a,b,c)\star d-(a,d,c)\star b$ 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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