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Streb, Walter

Über einen Satz von Herstein und Nakayama. (German) Zbl 0474.16024

Rend. Sem. Mat. Univ. Padova 64, 159-171 (1981).
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Cited in 10 Documents

MSC:

16U70 Center, normalizer (invariant elements) (associative rings and algebras)
16Rxx Rings with polynomial identity
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)

Keywords:

F-algebras; (F,beta)-rings; subdirect product of division rings; Jacobson radical; simple right Ore domain

Citations:

Zbl 0051.025; Zbl 0101.025; Zbl 0251.16021
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\textit{W. Streb}, Rend. Semin. Mat. Univ. Padova 64, 159--171 (1981; Zbl 0474.16024)
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References:

[1] P.M. Cohn , Algebra , vol. 2 , John Wiley & Sons , London - New York - Sydney - Toronto , 1977 . MR 530404 | Zbl 0341.00002 · Zbl 0341.00002
[2] I.N. Herstein , The structure of a certain class of rings , Amer. J. Math. , 75 ( 1953 ), pp. 864 - 871 . MR 58580 | Zbl 0051.02501 · Zbl 0051.02501
[3] I.N. Herstein , Rings with Involution , University of Chicago Press , Chicago , 1976 . MR 442017 | Zbl 0343.16011 · Zbl 0343.16011
[4] S. Lang , Algebra , Addison-Wesley Publishing Company , Reading, Massachusetts - Menlo Park, California - London - Sydney - Manila , 1971 . MR 197234 | Zbl 0193.34701 · Zbl 0193.34701
[5] J.E. McLaughlin - A. Rosfnberg , Zero divisors and commutativity of rings , Proc. Amer. Math. Soc. , 4 ( 1953 ), pp. 203 - 211 . MR 53081 | Zbl 0051.02401 · Zbl 0051.02401
[6] T. Nakayama , On the commutativity of certain division rings, Cand . J. Math. , 5 ( 1953 ), pp. 242 - 244 . MR 53083 | Zbl 0051.02603 · Zbl 0051.02603
[7] T. Nakayama , A remark on the commutativity of algebraic rings , Nagoya Mat. J. 14 ( 1959 ), pp. 39 - 44 . Article | MR 101261 | Zbl 0101.02503 · Zbl 0101.02503
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