Derivations with Engel conditions in prime and semiprime rings
Shuliang Huang (2011)
Czechoslovak Mathematical Journal
Similarity:
Let be a prime ring, a nonzero ideal of , a derivation of and fixed positive integers. (i) If for all , then is commutative. (ii) If and for all , then is commutative. Moreover, we also examine the case when is a semiprime ring.