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Nil ideals of power series rings

Published online by Cambridge University Press:  09 April 2009

Edmund R. Puczyłowski
Edmund R. Puczyłowski
Affiliation:
Institute of Mathematics University of Warsaw00-901 Warsaw, Poland
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Some characterizations of nil radical and nil semisimple power series rings are given. The upper nil radical of a power series ring in an uncountable set of non-commutative indeterminates is completely described.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 3 , June 1983 , pp. 287 - 292
Copyright
Copyright © Australian Mathematical Society 1983

References

Divinsky, N., Krempa, J. and Sulinski, A. (1971), “Strong radical properties of alternative and associative rings”, J. Algebra 17, 369–388.CrossRefGoogle Scholar
Gardner, B. J. and Stewart, P. N. (1976), “Reflected radical classes”, Acta Math. Acad. Sci. Hungar. 28, 293–298.CrossRefGoogle Scholar
Jacobson, N. (1964), Structure of rings (A. M. S. Colloquium Publications, Providence, R.I.).Google Scholar
Puczylowski, E. R. (1980), “Radical of polynomial rings, power series rings and tensor products”, Comm. Algebra 8, 1699–1709.CrossRefGoogle Scholar