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.
Article Type
Article
How to Cite this Article
Majeed, Abdullrahman H. and Ahmed, Hiba A.
(2011)
"Semigroup ideal in Prime Near-Rings with Derivations,"
Baghdad Science Journal: Vol. 8:
Iss.
3, Article 19.
DOI: https://doi.org/10.21123/bsj.2011.8.3.810-814