International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 413-415

A note on semiprime rings with derivation

Motoshi Hongan

Tsuyama College of Technology Numa, Tsuyama, Okayama 708, Japan

Received 26 September 1995; Revised 3 March 1996

Dedicated to the memory of Professor H. Tominaga

Copyright © 1997 Motoshi Hongan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:RR a derivation. If d[x,y]+[x,y]Z or d[x,y][x,y]Z for all x, yI, then R is commutative.