Submission date: 24 October 2011. PAPER WITHDRAWN ON 27 OCTOBER 2011.

Abstract:

We prove that a finite dimensional division algebra over a real closed field R is isomorphic to R, C=R(i) or H. It is a generalization of Frobenius theorem.

Mathematics Subject Classification: 03C64, 16K20

Keywords and phrases: Division algebras, real closed fields, Frobenius theorem

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