Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras

Abstract

In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the field of real numbers is a derivation. Also, we show that every left (resp, right) Jordan centralizer on generalized quaternion algebras over the field of real numbers is a left (resp, right) centralizer.

Keywords

• generalized quaternion algebra
• jordan semi-triple derivation
• jordan centralizer