Abstract
In a paper several years ago, Faith [2] proved an extension of a well-known theorem of Kaplansky [4]. His proof, even for the division ring case, was somewhat complicated. Using an old trick of Brauer [1] we show how Faith's theorem follows from Kaplansky's immediately.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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1. A commutativity theorem for division rings and an extension of a result of Faith;Results in Mathematics;1996-11
2. DERIVATIONS IN PRIME-RINGS;P AM MATH SOC;1982
3. Derivations in prime rings;Proceedings of the American Mathematical Society;1982
4. Associative rings;Journal of Soviet Mathematics;1980-07
5. A Commutativity Condition for Rings;Canadian Journal of Mathematics;1976-10-01