DAIF AND SCP – DERIVATIONS ON SEMIGROUP IDEAL I OF A NEAR–RING N.

Authors

  • A H Majeed Department of Mathematics, College of Science, Baghdad University.
  • Hiba Abdulla Department of Mathematics, College of Science, Baghdad University.

Keywords:

Prime near-ring, semiprime near-ring, semigroup ideal, Daif 1 derivation, SCP derivation

Abstract

In this paper we study two kinds of derivations on a semigroup ideal I of a near ring N. Thefirst kind called Daif derivation (Daif 1 derivation and Daif 2 derivation), the second kind iscalled strong commutativity preserving derivations. Bell and Mason, showed that a prime nearring N must be commutative if it admits any of these kinds of derivations, and we generalize this toa semigroup ideal I.

 

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Published

2010-12-01

Issue

Vol. 13 No. 4 (2010): December

Section

Articles

How to Cite

[1]
“DAIF AND SCP – DERIVATIONS ON SEMIGROUP IDEAL I OF A NEAR–RING N”., ANJS, vol. 13, no. 4, pp. 176–180, Dec. 2010, Accessed: Apr. 29, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/1000