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Semiprime near-rings

Published online by Cambridge University Press:  09 April 2009

Stefania De Stefano  and
Simonetta Di Sieno
Simonetta Di Sieno
Affiliation:
Dipartimento di Matematica Universit` degli Studi Via Saldini50 20133 Milano Italy
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Abstract

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Some properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 1 , August 1991 , pp. 88 - 94
Copyright
Copyright © Australian Mathematical Society 1991

References

[1]Blackett, D. W., ‘Simple and semi-simple near-rings’, Proc. Amer. Math. Soc. 4 (1953) 772–785.Google Scholar
[2]De Stefano, S. and Sieno, S. Di, ‘On the existence of nil ideals in distributive near-rings’, in Near-rings and near-fields, North-Holland, Amsterdam (1987).Google Scholar
[3]Groenewald, N. J., ‘A characterization of semiprime ideals in near-rings’, J. Austral. Math. Soc. 35 (1983), 194–196.Google Scholar
[4]Pilz, G., Near-rings, Revised edition, North-Holland, Amsterdam 1983.Google Scholar
[5]Rao, V. S., ‘A characterization of semiprime ideals in near-rings’, J. Austral. Math.Soc. 32 (1982), 212–214.CrossRefGoogle Scholar