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Nil Rings Satisfying Certain Chain Conditions

Published online by Cambridge University Press:  20 November 2018

I. N. Herstein  and
Lance Small
I. N. Herstein
Affiliation:
University of Chicago
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In general, given the fact that every element in a ring is nilpotent, one cannot conclude that the ring itself is nilpotent. However, there are theorems which do assert that, in the presence of certain side conditions, nil implies nilpotent. We shall prove some theorems of this nature here; among them they contain or subsume many of the earlier known theorems of this sort.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 16 , 1964 , pp. 771 - 776
Copyright
Copyright © Canadian Mathematical Society 1964

References

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