Abstract
The goal of the article is to discuss certain basic functional identities of semiprime rings. Specifically, the following result is proved: Let R be a semiprime ring with extended centroid C and let be additive maps, where denotes the maximal left ring of quotients of R. Suppose that for all . Then there exist and additive maps such that and for all . Moreover, some related functional identities are also characterized.
Acknowledgements
The author is grateful to the referee for carefully reading the manuscript and also thanks Professor M. Brešar for putting forward some constructive opinions.
Disclosure statement
No potential conflict of interest was reported by the author.