On finite division rings
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- by Robert H. Oehmke PDF
- Proc. Amer. Math. Soc. 79 (1980), 174-176 Request permission
Abstract:
Herein it is shown that the set of right powers of a generic element of a finite division ring contains a basis of the ring as an algebra over a prime field. This result is then applied to finite flexible division rings of characteristic not 2 to obtain commutativity.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 79 (1980), 174-176
- MSC: Primary 17A20
- DOI: https://doi.org/10.1090/S0002-9939-1980-0565332-2
- MathSciNet review: 565332