Hostname: page-component-848d4c4894-p2v8j Total loading time: 0 Render date: 2024-06-08T03:25:10.931Z Has data issue: false hasContentIssue false
  • English
  • Français

Pseudoregular radical classes

Published online by Cambridge University Press:  17 April 2009

N. R. McConnell  and
T. Stokes
N. R. McConnell
Affiliation:
Department of Defence, Locked Bag 5076, Kingston ACT 2604, Australia
T. Stokes
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch WA 6150, 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 radical classes specified by an associating polynomial in two variables which have a similar form to the polynomial defining the class of quasiregular rings. In particular, the relationships of these classes to the classes of semiprime, nil and quasiregular rings are explored.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 405 - 413
Copyright
Copyright © Australian Mathematical Society 2001

References

[1]Goulding, T.L. and Ortiz, A.H., ‘Structure of semiprime (p;q)-radicals’, Pacific J. Math. 37 (1971), 97–99.CrossRefGoogle Scholar
[2]McConnell, N.R. and Stokes, T., ‘Equationally defined radical classes’, Bull. Austal. Math. Soc. 47 (1993), 217–220.CrossRefGoogle Scholar
[3]McConnell, N.R. and Stokes, T., ‘Radical classes of commutative rings defined in terms of the adjoint operation’, Comm. Algebra 22 (1994), 5533–5548.CrossRefGoogle Scholar
[4]McKnight, J.D. Jr. and Musser, G.L., ‘Special (p; q)-radicals’, Canad. J. Math. 24 (1972), 38–44.CrossRefGoogle Scholar
[5]Musser, G.L., ‘Linear semiprime (p; q) radicals’, Pacific J. Math. 37 (1971), 749–757.CrossRefGoogle Scholar