TY - JOUR AU - Ma, Ai-qun AU - Chen, Lin AU - Qin, Zijie PY - 2023 TI - Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras JO - AIMS Mathematics SP - 6026 EP - 6035 VL - 8 IS - 3 AB - 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. UR - https://doi.org/10.3934/math.2023304 DO - 10.3934/math.2023304