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.