Codimension growth of a variety of Novikov algebras

Mathematics – Rings and Algebras

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Scientific paper

An algebra with identities $a\circ(b\circ c-c\circ b)=(a\circ b)\circ
c-(a\circ c)\circ b$ and $a\circ(b\circ c)=b\circ(a\circ c)$ is called Novikov.
We construct free Novikov base in terms of Young diagrams. We show that
codimensions exponent for a variety of Novikov algebras exists and is equal 4.

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