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Two-sided ideals in group near-rings

Part of: Generalizations

Published online by Cambridge University Press:  09 April 2009

J. H. Meyer
J. H. Meyer
Affiliation:
Department of Mathematics and Applied Mathematics, University of the Free State, PO Box 339, Bloemfontein 9300, South Africa e-mail: [email protected]
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Abstract

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The two-sided ideals of group near-rings are characterized and studied. Various examples are presented to illustrate the interplay between ideals in the base near-ring R and the corresponding group near-ring R[G]. Some results concerning the Jacobson radicals of R[G] are also discussed.

MSC classification

Secondary: 16Y30: Near-rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 321 - 334
Copyright
Copyright © Australian Mathematical Society 2004

References

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