Hostname: page-component-76fb5796d-vvkck Total loading time: 0 Render date: 2024-04-25T07:49:31.412Z Has data issue: false hasContentIssue false

Zero sets—consequences for primitive near-rings

Published online by Cambridge University Press:  20 January 2009

S. D. Scott
Affiliation:
University of AucklandPrivate BayAuckland, New Zealand
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.

Throughout this paper all near-rings will be left distributive. We shall denote the zero-symmetric part of a near-ring N by N0. The fact that the near-rings under consideration may not be zero-symmetric has important consequences for what follows, particularly the results of the last section.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1982

References

REFERENCES

1.Fulton, W., Algebraic Curves (W. A. Benjamin, Inc., 1969, New York: Amsterdam).Google Scholar
2.Lausch, H. and Nöbauer, W., Algebra of Polynomials (North-Holland Publishing Co., 1973, Amsterdam: London: New York).Google Scholar
3.Pilz, G., Near-rings (North-Holland Publishing Co., 1977, Amsterdam: New York: Oxford).Google Scholar
4.Scott, S. D., Tame near-rings and N-groups, Proc. Edinburgh Math. Soc. 23 (1980), 275296.CrossRefGoogle Scholar
5.Zariski, O. and Samuel, P., Commutative Algebra, Vol. II, (University Series in Higher Mathematics, D. Van Nostrand Co. Inc., 1960).CrossRefGoogle Scholar