Hostname: page-component-7f64f4797f-kjzhn Total loading time: 0 Render date: 2025-11-04T03:10:23.925Z Has data issue: false hasContentIssue false
  • English
  • Français

The J0 -Radical of a Matrix Nearring can be Intermediate

Published online by Cambridge University Press:  20 November 2018

J. D. P. Meldrum  and
J. H. Meyer
J. D. P. Meldrum
Affiliation:
Department of Mathematics & Statistics University of Edinburgh James Clerk Maxwell Building The King’s Buildings Mayfield Road Edinburgh EH9 3JZ United Kingdom, e-mail: j.meldrum@ed.ac.uk
J. H. Meyer
Affiliation:
Department of Mathematics University of the Orange Free State PO Box 339 9300 Bloemfontein Republic of South Africa, e-mail: wwjm@wwg3.uovs.ac.za
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.

An example is constructed to show that the J0 -radical of a matrix nearring can be an intermediate ideal. This solves a conjecture put forward in [1].

Keywords

Primary: 16Y3016S5016D25

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 2 , 01 June 1997 , pp. 198 - 203
Copyright
Copyright © Canadian Mathematical Society 1997

References

1. Meldrum, J. D. P. and Meyer, J. H., Intermediate ideals in matrix near-rings, Comm. Alg. (5)24 (1996), 1601–1619.Google Scholar
2. Meldrum, J. D. P. and Meyer, J. H., Modules over matrix near-rings and the J0-radical, Monatsh. Math. 112 (1991), 125–139.Google Scholar
3. Meldrum, J. D. P. and van der Walt, A. P. J., Matrix near-rings, Arch.Math. 47 (1986), 312–319.Google Scholar
4. Meyer, J. H., Chains of intermediate ideals in matrix near-rings, Arch.Math. 63 (1994), 311–315.Google Scholar
5. Meyer, J. H., Left ideals and 0-primitivity in matrix near-rings, Proc. Edinburgh Math. Soc. 35 (1992), 173–187.Google Scholar
6. van der Walt, A. P. J., On two-sided ideals in matrix near-rings, In: Near-rings and Near-fields, (ed. G. Betsch), North-Holland, 1987, 267–272.Google Scholar
7. van der Walt, A. P. J., Primitivity in matrix near-rings, Quaestiones Math. 9 (1986), 459–469.Google Scholar