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A nil-implies-nilpotent result in linearly compact rings

Published online by Cambridge University Press:  17 April 2009

Weimin Xue  and
I.N. Herstein
Weimin Xue
Affiliation:
Department of Mathematics FujianNormal University Fuzhou Fujian350007People's Republic of China
I.N. Herstein
Affiliation:
Department of Mathematics FujianNormal University Fuzhou Fujian350007People's Republic of China
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Abstract

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Let R be a left linearly compact ring with left ideals I ⊆ J such that RJ is finitely generated and R(J/I) is Artinian. We prove that if J is nil over I then J is nilpotent over I.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 1 , August 1994 , pp. 49 - 53
Copyright
Copyright © Australian Mathematical Society 1994

References

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