Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-05T16:13:44.460Z Has data issue: false hasContentIssue false
  • English
  • Français

Equationally defined radical classes

Published online by Cambridge University Press:  17 April 2009

N.R. McConnell  and
Timothy Stokes
N.R. McConnell
Affiliation:
Department of Mathematics and Computing, University of Central Queensland, Rockhampton MC Qld 4701, Australia
Timothy Stokes
Affiliation:
Department of Mathematics, University of Tasmania, Hobart, Tas 7000, Australia
Rights & Permissions [Opens in a new window]

Abstract

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.

We consider universal classes of multioperator groups, and give a sufficient condition for a subclass defined by algebraic elementwise rules to be a radical class.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 2 , April 1993 , pp. 217 - 220
Copyright
Copyright © Australian Mathematical Society 1993

References

[1]Gardner, B.J., ‘Radical properties defined locally by polynomial identities I’, J. Austral. Math. Soc. 27 (1979), 257–273.CrossRefGoogle Scholar
[2]Gardner, B.J., Radical theory, Pitman Research Notes in Mathematics 108 (Longman Scientific and Technical, Harlow, Essex, UK, 1989).Google Scholar
[3]Musser, Gary L., ‘Linear Semiprime (p;q) Radicals’, Pacific J. Math. 37 (1971), 749–757.CrossRefGoogle Scholar
[4]Stengle, G., ‘A Nullstellensatz and a Positivstellensatz in semialgebraic geometry’, Math. Ann. 207 (1974), 87–97.CrossRefGoogle Scholar
[5]Wiegandt, R., ‘Radicals of rings defined by means of elements’, Sitz. Ost. Akad. Wise.II 184 (1975), 117–125.Google Scholar