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
Full-text PDF Free Access
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 𝜙-rings extensions of bounded index, J. Algebra 44 (1977), no. 2, 370–388. MR 0427378, https://doi.org/10.1016/0021-8693(77)90188-0
- [2] B. Felzenszwalb, On a result of Levitzki, Canad. Math. Bull. 21 (1978), no. 2, 241–242. MR 0491793, https://doi.org/10.4153/CMB-1978-040-0
- [3] I. N. Herstein, Topics in ring theory, The University of Chicago Press, Chicago, Ill.-London, 1969. MR 0271135
-rings extensions of bounded index, J. Algebra 44 (1977), 370-388. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A22
Retrieve articles in all journals with MSC: 16A22
Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1981-0589126-8
Article copyright:
© Copyright 1981
American Mathematical Society