On higher n-derivation of prime rings

الملخص EN

-The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that: Let R be a prime ring of char.

 2, U be a Jordan ideal of R and i i n D d   ( ) be a higher N-derivation of R, then d (ur) d (u)d (r) j i j n i n    , for all uU , rR , nN .