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The Wedderburn Theorem
Published online by Cambridge University Press: 20 November 2018
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Wedderburn, in 1905, proved that there are no finite skew-fields (5). Wedderburn's result has also been proved by Dickson, Artin, Witt, and Zassenhaus (2; 1; 6; 7); however, it seems to the author that the proofs so far given introduce concepts not obviously related to the theorem. It is the purpose of this note to use a result of Cartan, which was later proved in greater generality by Hua (4), to give a simpler and more direct version of the proof of Zassenhaus.
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- Copyright © Canadian Mathematical Society 1955