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DAIF AND SCP – DERIVATIONS ON SEMIGROUP IDEAL I OF A NEAR–RING N. | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 13, Issue 4, 2010, Pages 176-180 | ||
| Authors | ||
| A.H. Majeed; Hiba Abdulla | ||
| 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; semigroup ideal; Daif; SCP derivation | ||
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