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The density theorem for loop near-rings

Published online by Cambridge University Press:  17 April 2009

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

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An algebraic formulation of the density theorem for loop near-rings is presented, which generalizes the same result for near-rings.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 19 , Issue 3 , December 1978 , pp. 467 - 474
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Betsch, Gerhard, “Primitive near-rings”, Math. Z. 130 (1973), 351–361.CrossRefGoogle Scholar
[2]Bruck, Richard Hubert, A survey of binary systems, 2nd edition (Ergebnisse der Mathematik und ihrer Grenzgebiete, 20. Springer-Verlag, Berlin, Heidelberg, New York, 1966).Google Scholar
[3]Ramakotaiah, D. and Santhakumari, C., “On loop near-rings”, Bull. Austral. Math. Soc. 19 (1978), 417–435.CrossRefGoogle Scholar
[4]Santhakumari, C., “On quotient loops of normal subloops”, Canad. Math. Bull, (to appear).Google Scholar