On Maps of Period 2 on Prime and Semiprime Rings

الملخص EN

A map f of the ring R into itself is of period 2 if f 2 x = x for all x ∈ R ; involutions are much studied examples.

We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized derivations of period 2 on prime and semiprime rings.