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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
MathSciNet review:
0064022
Full-text PDF Free Access
References |
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Additional Information
- [1]
I.
N. Herstein, A generalization of a theorem of Jacobson. III,
Amer. J. Math. 75 (1953), 105–111. MR 0052400
(14,613e)
- [2]
Masatoshi
Ikeda, On a theorem of Kaplansky, Osaka Math. J.
4 (1952), 235–240. MR 0052402
(14,614a)
- [3]
N.
Jacobson, Structure theory for algebraic algebras of bounded
degree, Ann. of Math. (2) 46 (1945), 695–707.
MR
0014083 (7,238c)
- [4]
N.
Jacobson, Structure theory of simple rings
without finiteness assumptions, Trans. Amer.
Math. Soc. 57
(1945), 228–245. MR 0011680
(6,200a), http://dx.doi.org/10.1090/S0002-9947-1945-0011680-8
- [5]
Irving
Kaplansky, A theorem on division rings, Canadian J. Math.
3 (1951), 290–292. MR 0042389
(13,101g)
- [6]
Tadasi
Nakayama, On the commutativity of certain division rings,
Canadian J. Math. 5 (1953), 242–244. MR 0053083
(14,719b)
- [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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1954-0064022-7
PII:
S 0002-9939(1954)0064022-7
Article copyright:
© Copyright 1954 American Mathematical Society
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