Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-27T09:27:40.434Z Has data issue: false hasContentIssue false
  • English
  • Français

Division of distributively generated near-rings II

Published online by Cambridge University Press:  17 April 2009

V. Tharmaratnam
V. Tharmaratnam
Affiliation:
Department of Mathematics and Statistics, University of Jaffna Thirunelvely, Sri Lanka.
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 definition of division d.g. near-rings given by the author in 1976 has been found to be too restrictive. In this paper we generalise the definition of division d.g. near-rings and extend the results obtained earlier for division d.g. near-rings to the new wider class of near-rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 1 , February 1987 , pp. 73 - 80
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Fröhlich, A., “The near-ring generated by the inner automorphisms of of a finite simple group”, J. London Math. Soc. 33 (1958) 95–107.Google Scholar
[2]Laxton, R.R., “Primitive distributively generated near-rings”, Mathematika 8 (1961), 142–158.CrossRefGoogle Scholar
[3]Ligh, S., “On division near-rings”, Canad. J. Math. 21 (1969), 1366–1371.CrossRefGoogle Scholar
[4]Tharmaratnam, V., “Complete primitive distributively generated near-rings”, Quart. J. Math. (Oxford) 18 (1967), 293–313.CrossRefGoogle Scholar
[5]Tharmaratnam, V., “Endomorphism near-ring of a relatively free group”, Math. Z. 113 (1970), 119–135.CrossRefGoogle Scholar
[6]Tharmaratnam, V., “Division d.g. near-rings”, J. London Math. Soc. (2), 14 (1976), 135–147.CrossRefGoogle Scholar