A new proof of a result of Levitzki-Reference-Cited by-同舟云学术

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A new proof of a result of Levitzki

Published:1981 Issue:1 Volume:81 Page:8
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Klein Abraham A.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-081-01/S0002-9939-1981-0589126-8/S0002-9939-1981-0589126-8.pdf

Reference3 articles.

1. Algebraic 𝜙-rings extensions of bounded index;Chacron, M.;J. Algebra,1977

2. On a result of Levitzki;Felzenszwalb, B.;Canad. Math. Bull.,1978

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On σ-nil ideals of bounded index of σ-nilpotence;Journal of Algebra;2012-12

2. A setwise commutativity property for rings;Communications in Algebra;1997-01

3. On rings with engel cycles, II;Results in Mathematics;1992-05

4. Associative rings;Journal of Soviet Mathematics;1987-08

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