Title of article :
DAIF AND SCP – DERIVATIONS ON SEMIGROUP IDEAL I OF A NEAR–RING N.
Author/Authors :
Majeed, A.H. Baghdad University - College of Science - Department of Mathematics, Iraq , Abdulla, Hiba Baghdad University - College of Science - Department of Mathematics, Iraq
Abstract :
In this paper we study two kinds of derivations on a semigroup ideal I of a near ring N. The first kind called Daif derivation (Daif 1 derivation and Daif 2 derivation), the second kind is called strong commutativity preserving derivations. Bell and Mason, showed that a prime near ring N must be commutative if it admits any of these kinds of derivations, and we generalize this to a semigroup ideal I.
Keywords :
Prime near , ring , semiprime near , ring , semigroup ideal , Daif 1 derivation , Daif 2 derivation , SCP derivation
Journal title :
Al-Nahrain Journal Of Science
Journal title :
Al-Nahrain Journal Of Science
