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

[摘要] 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.

[学科分类] 地球科学(综合)

[关键词] generalized quaternion algebra;Jordan semi-triple derivation;Jordan centralizer