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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On finite division rings


Author: Robert H. Oehmke
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1980-0565332-2
Article copyright: © Copyright 1980 American Mathematical Society

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