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A characterization of semi-prime ideals in near-rings
Published online by Cambridge University Press: 09 April 2009
Abstract
It is well-known that in any near-ring, any intersection of prime ideals is a semi-prime ideal. The aim of this note is to prove that any ideal is a prime ideal if and only if it is equal to its prime radical. As a consequence of this we have any semi-prime ideal I in a near-ring N is the intersection of minimal prime ideals of I in N and that I is the intersection of all prime ideals containing I.
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- Copyright © Australian Mathematical Society 1983
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