The structure of a special class of rings
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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
- N. Jacobson, The radical and semi-simplicity for arbitrary rings, Amer. J. Math. 67 (1945), 300–320. MR 12271, DOI 10.2307/2371731
- N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, DOI 10.2307/1969205
- I. N. Herstein, A generalization of a theorem of Jacobson, Amer. J. Math. 73 (1951), 756–762. MR 44504, DOI 10.2307/2372114 —, A generalization of a theorem of Jacobson. II, Bull. Amer. Math. Soc. Abstract 58-3-281.
- I. N. Herstein, A generalization of a theorem of Jacobson. III, Amer. J. Math. 75 (1953), 105–111. MR 52400, DOI 10.2307/2372619
- I. N. Herstein, The structure of a certain class of rings, Amer. J. Math. 75 (1953), 864–871. MR 58580, DOI 10.2307/2372554
- J. E. McLaughlin and Alex Rosenberg, Zero divisors and commutativity of rings, Proc. Amer. Math. Soc. 4 (1953), 203–212. MR 53081, DOI 10.1090/S0002-9939-1953-0053081-2
- Yuzo Utumi, On $\xi$-rings, Proc. Japan Acad. 33 (1957), 63–66. MR 89187
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 9 (1958), 714-721
- MSC: Primary 16.00
- DOI: https://doi.org/10.1090/S0002-9939-1958-0098115-9
- MathSciNet review: 0098115