A new simple proof of the Gel′fand-Mazur-Kaplansky theorem
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- by Miguel Cabrera García and Ángel Rodríguez-Palacios PDF
- Proc. Amer. Math. Soc. 123 (1995), 2663-2666 Request permission
Abstract:
We provide an almost purely algebraic proof of Kaplansky’s refinement of the Gelfand-Mazur theorem asserting that the reals, complex, and quaternions are the only associative normed real algebras with no nonzero topological divisors of zero.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2663-2666
- MSC: Primary 46H20
- DOI: https://doi.org/10.1090/S0002-9939-1995-1231298-6
- MathSciNet review: 1231298