Remarks on the commutativity of rings
Author:
M. F. Smiley
Journal:
Proc. Amer. Math. Soc. 10 (1959), 466-470
MSC:
Primary 16.00
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105427-X
MathSciNet review:
0105427
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References | Similar Articles | Additional Information
- [1] N. J. Divinsky, On commuting automorphisms of rings, Trans. Roy. Soc. Canada Sect. III 49 (1955), 19–22. MR 73573
- [2] I. N. Herstein, A condition for the commutativity of rings, Canadian J. Math. 9 (1957), 583–586. MR 91941, https://doi.org/10.4153/CJM-1957-066-0
- [3] I. N. Herstein, Jordan derivations of prime rings, Proc. Amer. Math. Soc. 8 (1957), 1104–1110. MR 95864, https://doi.org/10.1090/S0002-9939-1957-0095864-2
- [4] Irving Kaplansky, Semi-automorphisms of rings, Duke Math. J. 14 (1947), 521–525. MR 22209
- [5] Irving Kaplansky, Rings with a polynomial identity, Bull. Amer. Math. Soc. 54 (1948), 575–580. MR 25451, https://doi.org/10.1090/S0002-9904-1948-09049-8
- [6] Nathan Jacobson, The Theory of Rings, American Mathematical Society Mathematical Surveys, vol. II, American Mathematical Society, New York, 1943. MR 0008601
- [7] N. Jacobson, Structure theory for algebraic algebras of bounded degree, Ann. of Math. (2) 46 (1945), 695–707. MR 14083, https://doi.org/10.2307/1969205
- [8] Neal H. McCoy, Prime ideals in general rings, Amer. J. Math. 71 (1949), 823–833. MR 32590, https://doi.org/10.2307/2372366
- [9] Edward C. Posner, Derivations in prime rings, Proc. Amer. Math. Soc. 8 (1957), 1093–1100. MR 95863, https://doi.org/10.1090/S0002-9939-1957-0095863-0
- [10] M. F. Smiley, Remarks on commuting automorphisms, (Abstract) Amer. Math. Monthly vol. 63 (1956) p. 535.
- [11] M. F. Smiley, Jordan homomorphisms onto prime rings, Trans. Amer. Math. Soc. 84 (1957), 426–429. MR 83484, https://doi.org/10.1090/S0002-9947-1957-0083484-X
- [12] Kiyosi Yamaguti, Jordan and Jordan triple isomorphisms of rings, J. Sci. Hiroshima Univ. Ser. A 20 (1956/57), 107–110. MR 96710
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1959-0105427-X
Article copyright:
© Copyright 1959
American Mathematical Society