On Nakayama’s extension of the $x^ {n(x)}$ theorems
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- by Alex Rosenberg and Daniel Zelinsky
- Proc. Amer. Math. Soc. 5 (1954), 484-486
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064022-7
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References
- I. N. Herstein, A generalization of a theorem of Jacobson. III, Amer. J. Math. 75 (1953), 105–111. MR 52400, DOI 10.2307/2372619
- Masatoshi Ikeda, On a theorem of Kaplansky, Osaka Math. J. 4 (1952), 235–240. MR 52402
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, DOI 10.2307/1969205
- N. Jacobson, Structure theory of simple rings without finiteness assumptions, Trans. Amer. Math. Soc. 57 (1945), 228–245. MR 11680, DOI 10.1090/S0002-9947-1945-0011680-8
- Irving Kaplansky, A theorem on division rings, Canad. J. Math. 3 (1951), 290–292. MR 42389, DOI 10.4153/cjm-1951-033-7
- Tadasi Nakayama, On the commutativity of certain division rings, Canad. J. Math. 5 (1953), 242–244. MR 53083, DOI 10.4153/cjm-1953-026-3
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- 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