Essential Nilpotency in Near-Rings

Autor: Gary Birkenmeier
Rok vydání: 1995
Předmět:
Zdroj: Near-Rings and Near-Fields ISBN: 9789401041607
Popis: 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.
Databáze: OpenAIRE