Theorem detail

Alias: Frobenius' theorem

Statement: The only finite dimensional associative division algebras over the real numbers are the reals, the complex numbers, and the quaternions.

Link: https://en.wikipedia.org/wiki/Frobenius_theorem_(real_division_algebras)

Reference(s)

  • Jacobson, Nathan, Basic Algebra. I. , Second Edition. W. H. Freeman And Company, New York, (1985). P 452