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On loop near-rings

Published online by Cambridge University Press:  17 April 2009

D. Ramakotaiah  and
C. Santhakumari
D. Ramakotaiah
Affiliation:
Department of Mathematics, Nagarjuna University, Nagarjunanagar, Andhra Pradesh, India.
C. Santhakumari
Affiliation:
Department of Mathematics, Nagarjuna University, Nagarjunanagar, Andhra Pradesh, India.
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Abstract

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A new class of algebraic systems known as loop near-rings are introduced, which includes near-rings and consequently rings. Different types of radicals are introduced in a loop near-ring N which coincide with the Jacobson radical when N happens to be a ring, and several characterizations of these radicals are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 3 , December 1978 , pp. 417 - 435
Copyright
Copyright © Australian Mathematical Society 1979

References

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[3]Pilz, Günter, Near-rings. The theory and its applications (North-Holland Mathematics Studies, 23. North-Holland, Amsterdam, New York, Oxford, 1977).Google Scholar
[4]Ramakotaiah, D., “Radicals for near-rings”, Math. Z. 97 (1967), 45–56.CrossRefGoogle Scholar