Geodesic
On a Result of Faith
Canadian mathematical bulletin, Tome 18 (1975) no. 4, p. 609

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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. 
On a Result of Faith. Canadian mathematical bulletin, Tome 18 (1975) no. 4, p. 609. doi: 10.4153/CMB-1975-109-9
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[1] 1. Brauer, Richard, On a theorem of H. Cartan, BAMS 55 (1949), 6. 9–620. Google Scholar

[2] 2. Faith, Carl, Algebraic division ring extensions, PAMS 11 (1960), 43–53. Google Scholar

[3] 3. Herstein, I. N., Two remarks on the commutativity of rings, Canadian Journal Math. 7 (1955), 411–412. Google Scholar

[4] 4. Kaplansky, Irving, A theorem on division rings, Canadian Journal Math. 3 (1951), 290–292. Google Scholar

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