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On rings generating atoms of lattices of special and supernilpotent radicals

Published online by Cambridge University Press:  17 April 2009

Halina France-Jackson
Halina France-Jackson
Affiliation:
Department of Mathematics, Vista University, Private Bag x613 Port Elizabeth 6000, South Africa
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Abstract

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This note is to indicate a nonsemiprime ring R such that the smallest supernilpotent (respectively special) radical containing the ring R is an atom of the lattice of all supernilpotent (respectively special) radicals. This gives a positive answer to Puczylowski's and Roszkowska's question.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 44 , Issue 2 , October 1991 , pp. 203 - 205
Copyright
Copyright © Australian Mathematical Society 1991

References

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