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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 variableswhich vanishes in the free associative algebra vanishes as well in anyn-generated alternative algebra over a field of characteristic 0. Before thiswas proved only for a series of such polynomials constructed by the author in[7].

Skew-symmetric identities of finitely generated alternative algebras