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Research Article | Open Access

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

Ai-qun Ma1,2, Lin Chen2( ), Zijie Qin2
Department of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
Department of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China
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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 algebraJordan semi-triple derivationJordan centralizer
CLC number: 46K15, 47B49

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6026-6035
DOI: 10.3934/math.2023304

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Cite this article:
Ma A-q, Chen L, Qin Z. Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras. AIMS Mathematics, 2023, 8(3): 6026-6035. https://doi.org/10.3934/math.2023304

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Received: 05 August 2022
Revised: 11 December 2022
Accepted: 12 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)