On Nakayama's extension of the theorems

Authors:
Alex Rosenberg and Daniel Zelinsky

Journal:
Proc. Amer. Math. Soc. **5** (1954), 484-486

MSC:
Primary 09.1X

DOI:
https://doi.org/10.1090/S0002-9939-1954-0064022-7

MathSciNet review:
0064022

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References | Similar Articles | Additional Information

**[1]**I. N. Herstein,*A generalization of a theorem of Jacobson*III, Amer. J. Math. vol. 75 (1953) pp. 105-111. MR**0052400 (14:613e)****[2]**M. Ikeda,*On a theorem of Kaplansky*, Osaka Math. J. vol. 4 (1952) pp. 235-240. MR**0052402 (14:614a)****[3]**N. Jacobson,*Structure theory for algebraic algebras of bounded degree*, Ann. of Math. vol. 46 (1945) pp. 695-707. MR**0014083 (7:238c)****[4]**N. Jacobson,*Structure theory of simple rings without finiteness assumptions*, Trans. Amer. Math. Soc. vol. 57 (1945) pp. 228-245. MR**0011680 (6:200a)****[5]**I. Kaplansky,*A theorem on division rings*, Canadian Journal of Mathematics vol. 3 (1951) pp. 290-292. MR**0042389 (13:101g)****[6]**T. Nakayama,*On the commutativity of certain division rings*, Canadian Journal of Mathematics vol. 5 (1953) pp. 242-244. MR**0053083 (14:719b)**

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DOI:
https://doi.org/10.1090/S0002-9939-1954-0064022-7

Article copyright:
© Copyright 1954
American Mathematical Society