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On a class of near-rings

Published online by Cambridge University Press:  09 April 2009

C. Santhakumari
C. Santhakumari
Affiliation:
Department of Mathematics Nagarjuna UniversityNagarjunanagar-522 510 A. P., India
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Abstract

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It is well known that in a commutative Noetherian ring with identity every ideal has a representation as a finite intersection of primary ideals. The object of the present paper is to generalize this result to a class of near-rings called Q-near-rings which includes rings with dense quasi-centre and consequently all commutative rings.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 33 , Issue 2 , October 1982 , pp. 167 - 170
Copyright
Copyright © Australian Mathematical Society 1982

References

Pilz, G. (1977), Near-rings (North Holland, Amsterdam).Google Scholar
Walt, A. P. J. Vander (1967), ‘Rings with dense quasi-centre’, Math. Z. 97, 38–44.CrossRefGoogle Scholar