Title of article :
Semigroup ideal in Prime Near-Rings with Derivations
Author/Authors :
Majeed, Abdullrahman H. Baghdad University - College of Science - Department of Mathematics, Iraq , Ahmed, Hiba A. Baghdad University - College of Science - Department of Mathematics, Iraq
Abstract :
In this paper we generalize some of the results due to Bell and Mason on a near-ring N admitting a derivation D , and we will show that the body of evidence on prime near-rings with derivations have the behavior of the ring. Our purpose in this work is to explore further this ring like behavior. Also, we show that under appropriate additional hypothesis a near-ring must be a commutative ring.
Keywords :
Prime Near , ring , Semiprime Near–ring , Semigroup ideal , derivation.
Journal title :
Baghdad Science Journal
Journal title :
Baghdad Science Journal
