JP Journal of Algebra, Number Theory and Applications
Volume 37, Issue 2, Pages 167 - 184
(October 2015) http://dx.doi.org/10.17654/JPANTAOct2015_167_184 |
|
LIE IDEALS AND JORDAN IDEALS IN 3-PRIME NEAR-RINGS WITH DERIVATIONS
Abdelkarim Boua and Ahmed A. M. Kamal
|
Abstract: In this paper, we introduce the concept of a Lie ideal in a near-ring and study the structure of the near-rings admitting derivations which satisfy certain conditions on a Lie ideal and a Jordan ideal in a 3-prime near-ring. Moreover, we give some examples which show that the assumptions made in our results are necessary. |
Keywords and phrases: 3-prime near-rings, Jordan ideals, Lie ideals, derivations. |
|
Number of Downloads: 470 | Number of Views: 1157 |
|