Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-23T06:56:16.785Z Has data issue: false hasContentIssue false
  • English
  • Français

On group distributively generated near-rings

Published online by Cambridge University Press:  09 April 2009

R. L. Fray
R. L. Fray
Affiliation:
University of the Western CapePrivate Bag X17Bellville, 7535, South Africa
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.

The group near-ring constructed from a right near-ring R and a group G is studied in the special case where the near-ring is distributively generated. In particular, results concerning homomorphisms of near-rings or of groups and the augmentation ideal are obtained which resemble closely those obtained for group rings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 1 , February 1992 , pp. 40 - 56
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Fray, R. L., Ph.D Thesis, University of Stellenbosch, South Africa, 1988.Google Scholar
[2]Le Riche, L. R., Meldrum, J. D. P. and van der Walt, A. P. J., ‘On group near-rings’, Arch. Math. 52 (1989), 132–139.CrossRefGoogle Scholar
[3]Meldrum, J. D. P., ‘The group distributively generated near-ring’, Proc. London Math. Soc. (3) 32 (1976), 323–346.CrossRefGoogle Scholar
[4]Meldrum, J. D. P., near-rings and their links with groups, (Res. Notes in Math. 134, Pitman, 1985).Google Scholar