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Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
AIMS Mathematics 2023, 8(3): 6026-6035
Published: 15 March 2023
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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.

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