A new proof of a result of Levitzki
Author:
Abraham A. Klein
Journal:
Proc. Amer. Math. Soc. 81 (1981), 8
MSC:
Primary 16A22
DOI:
https://doi.org/10.1090/S0002-9939-1981-0589126-8
MathSciNet review:
589126
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Abstract | References | Similar Articles | Additional Information
Abstract: A very short proof of the result which states that a nil ring of bounded index has a nonzero nilpotent ideal is given and it is shown that the same method of proof yields a more general result.
- [1]
M. Chacron, Algebraic
-rings extensions of bounded index, J. Algebra 44 (1977), 370-388. MR 0427378 (55:412)
- [2] B. Felzenszwalb, On a result of Levitzki, Canad. Math. Bull. 21 (1978), 241-242. MR 0491793 (58:10992)
- [3] I. N. Herstein, Topics in ring theory, Univ. of Chicago Press, Chicago, Illinois, 1969. MR 0271135 (42:6018)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1981-0589126-8
Article copyright:
© Copyright 1981
American Mathematical Society
