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arXiv · 2207.01195

Skew-symmetric identities of finitely generated alternative algebras

Ivan P. Shestakov
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Abstract

We prove that for every natural number n there exists a natural number N(n) such that every multilinear skew-symmetric polynomial on N(n) or more variables which vanishes in the free associative algebra vanishes as well in any n-generated alternative algebra over a field of characteristic 0. Before this was proved only for a series of such polynomials constructed by the author in [7].

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Ivan P. Shestakov. 2022-07-04. Skew-symmetric identities of finitely generated alternative algebras. https://arxiv.org/abs/2207.01195

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