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Isotopy and identities in alternative algebras
Authors:M. Babikov
Affiliation:Department of Mathematics Ohio State University Columbus, Ohio 43202
Abstract:In this paper we show how to construct an isomorphism between an alternative algebra $A$ over a field of characteristic $ne 3$ and its isotope $A^{(1+c)}$, where $c$ is an element of Zhevlakov's radical of $A$. This leads to the equivalence of any polynomial identity $f=0$ in alternative algebras and the isotope identity $f^{(s)}=0$.

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