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A nil-implies-nilpotent result in Artinian rings

Published online by Cambridge University Press:  17 April 2009

J. H. Meyer
J. H. Meyer
Affiliation:
Department of Mathematics, University of Stellenbosch, Stellenbosch 7600, South Africa.
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Abstract

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It is shown that if the ring A is left Artinian and L1 and L2 are left ideals of AL1 is nilpotent modulo L2 if L1 is nil modulo L2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 2 , October 1986 , pp. 267 - 269
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Divinsky, N., Rings and radicals, (University of Toronto Press, 1965).Google Scholar
[2]Van der Walt, A.P.J., “A variation on nil and nilpotent”, Quaestiones Math. 7 (1984), 101–104.CrossRefGoogle Scholar