Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-12-01T06:51:11.532Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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