Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-10T02:53:17.427Z Has data issue: false hasContentIssue false
  • English
  • Français

Upper faithful d.g. near-rings

Published online by Cambridge University Press:  20 January 2009

J. D. P. Meldrum
J. D. P. Meldrum
Affiliation:
Department of MathematicsUniversity of EdinburghKing's BuildingsMayfield RoadEdinburgh EH9 3JZ
Rights & Permissions [Opens in a new window]

Extract

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.

This paper is concerned with d.g. near-rings and their relationship to faithful d.g. near-rings. For general definitions and results, we refer to Pilz [5]. We use left near-rings where he uses right near-rings, but otherwise there is little difference. This work follows earlier work [3], [4] and Mahmood [2]. Before outlining the contents of the paper we present a précis of the definitions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 3 , October 1983 , pp. 361 - 370
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

REFERENCES

1.Fröhlich, A., On groups over a d.g. near-ring (I): Sum constructions and free R-groups, Quart. J. Math. (Oxford) (2) 11 (1960), 193–210.CrossRefGoogle Scholar
2.Mahmood, S. J., Limits and colimits in categories of d.g. near-rings, Proc. Edinburgh Math. Soc. 23 (1980), 1–7.CrossRefGoogle Scholar
3.Meldrum, J. D. P., The representation of d.g. near-rings, J. Austral. Math. Soc. 16 (1973), 467–480.CrossRefGoogle Scholar
4.Meldrum, J. D. P., Presentations of faithful d.g. near-rings, Proc. Edinburgh Math. Soc. 23 (1980), 49–56.CrossRefGoogle Scholar
5.Pilz, G., Near-rings (North-Holland, Amsterdam, 1976).Google Scholar
6.Scott, W. R., Group Theory (Prentice-Hall, Englewood Cliffs, N.J., 1964).Google Scholar