A new proof of a result of Levitzki

Klein, Abraham A.

doi:10.1090/S0002-9939-1981-0589126-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A new proof of a result of Levitzki
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by Abraham A. Klein PDF

Proc. Amer. Math. Soc. 81 (1981), 8 Request permission

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.

References

M. Chacron, Algebraic $\phi$-rings extensions of bounded index, J. Algebra 44 (1977), no. 2, 370–388. MR 427378, DOI 10.1016/0021-8693(77)90188-0
B. Felzenszwalb, On a result of Levitzki, Canad. Math. Bull. 21 (1978), no. 2, 241–242. MR 491793, DOI 10.4153/CMB-1978-040-0
I. N. Herstein, Topics in ring theory, University of Chicago Press, Chicago, Ill.-London, 1969. MR 0271135