Alternative regular rings without nilpotent elements
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- by Malcolm F. Smiley PDF
- Bull. Amer. Math. Soc. 53 (1947), 775-778
References
- Garrett Birkhoff, Subdirect unions in universal algebra, Bull. Amer. Math. Soc. 50 (1944), 764–768. MR 10542, DOI 10.1090/S0002-9904-1944-08235-9
- R. H. Bruck, Contributions to the theory of loops, Trans. Amer. Math. Soc. 60 (1946), 245–354. MR 17288, DOI 10.1090/S0002-9947-1946-0017288-3
- Alexandra Forsythe and Neal H. McCoy, On the commutativity of certain rings, Bull. Amer. Math. Soc. 52 (1946), 523–526. MR 16093, DOI 10.1090/S0002-9904-1946-08603-6
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, DOI 10.2307/1969205
- Ruth Moufang, Die Schnittpunktsätze des projektiven speziellen Fünfecksnetzes in ihrer Abhängigkeit voneinander, Math. Ann. 106 (1932), no. 1, 755–795 (German). MR 1512782, DOI 10.1007/BF01455910 6. J. von Neumann, On regular rings, Proc. Nat. Acad. Sci. U. S. A. vol. 22 (1936) pp. 707-713. 7. M. Zorn, Theorie der Alternativen Ringe, Abh. Math. Sem. Hamburgischen Univ. vol. 9 (1933) pp. 395-402.
- Max Zorn, Alternative rings and related questions I: existence of the radical, Ann. of Math. (2) 42 (1941), 676–686. MR 5098, DOI 10.2307/1969256
Additional Information
- Journal: Bull. Amer. Math. Soc. 53 (1947), 775-778
- DOI: https://doi.org/10.1090/S0002-9904-1947-08875-3
- MathSciNet review: 0022211