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

Autor: Ai-qun Ma, Lin Chen, Zijie Qin
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 3, Pp 6026-6035 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023304?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals