Abstract

The main purpose of this paper is to study generalized derivations in rings with involution which behave like strong commutativity preserving mappings. In fact, we prove the following result: Let R be a noncommutative prime ring with involution of the second kind such that char [Formula: see text]. If R admits a generalized derivation [Formula: see text] associated with a derivation [Formula: see text] such that [Formula: see text] for all [Formula: see text], then [Formula: see text] for all [Formula: see text] or [Formula: see text] for all [Formula: see text]. Moreover, a related result is also obtained.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call