Essential Nilpotency in Near-Rings

Part of the Mathematics and Its Applications book series (MAIA, volume 336)


In this paper we begin the development of a theory of essential nilpotence for near-rings. We show that the prime radical is essentially nilpotent and there exists a unique largest essentially nilpotent ideal EN(R) in any zerosymmetric near-ring R. Basic properties of EN(R) are determined and examples are provided to illustrate and delimit our theory.


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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Southwestern LouisianaLafayetteUSA

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