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Polynomial identities of bicommutative algebras, Lie and Jordan elements
Published 12 Nov 2017 in math.RA | (1711.04300v1)
Abstract: An algebra with identities $a(bc)=b(ac),$ $(ab)c=(ac)b$ is called bicommutative. We construct list of identities satisfied by commutator and anti-commutator products in a free bicommutative algebra. We give criterions for elements of a free bicommutative algebra to be Lie or Jordan.
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