LIE IDEALS AND JORDAN IDEALS IN 3-PRIME NEAR-RINGS WITH DERIVATIONS
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.
3-prime near-rings, Jordan ideals, Lie ideals, derivations.
