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On Nakayama's extension of the $ x\sp {n(x)}$ 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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  • [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

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