International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 53145, 13 pages
Products of derivations which act as Lie derivations on
commutators of right ideals
Dipartimento di Matematica, Universitá di Messina, Salita Sperone 31, Messina 98166, Italy
Received 5 April 2006; Revised 22 October 2006; Accepted 30 October 2006
Copyright © 2006 V. De Filippis. 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 be a prime ring of characteristic different from 2, a nonzero right ideal of , and nonzero derivations of , and the standard identity of degree 4. If the composition is a Lie derivation of into , then either or .