International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 1, Pages 89-92
doi:10.1155/S0161171298000106

Derivations of higher order in semiprime rings

Jiang Luh1 and Youpei Ye2

 1Department of Mathematics, North Carolina State University, Raleigh 27695-8205, NC, USA
2Department of Computer Science, Nanjing University of Science and Technology, Nanjing, China
Received 12 September 1996; Revised 2 April 1997

Abstract

Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.