Abstract
Let be a ring and
be the set of positive integers. Suppose
is an automorphism of
. In this paper, we study the following functional identity
As an application, we describe the structure of -algebras.
Acknowledgement
This Project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under grant No. . The authors, therefore, acknowledge with thanks DSR for technical and financial support.
Disclosure statement
No potential conflict of interest was reported by the authors.