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Distinguishing simple Jordan algebras by means of polynomial identities. (English) Zbl 0745.17027

The authors show that given a finite-dimensional simple Jordan algebra \(J\), over an algebraically closed field of characteristic 0, one can determine \(J\) up to isomorphism by determining whether some explicit Jordan polynomials are identities or nonidentities of \(J\).

MSC:

17C20 Simple, semisimple Jordan algebras
17C05 Identities and free Jordan structures
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