Higher Jordan triple derivations on *-type trivial extension algebras

被引：0
|
作者：
Fei, Xiuhai [1 ]
Wang, Zhonghua [2 ,3 ]
Lu, Cuixian [1 ]
Zhang, Haifang [1 ]
机构：
[1] West Yunnan Univ, Sch Math & Phys, Lincang, Peoples R China
[2] Xian Shiyou Univ, Sch Sci, Xian, Peoples R China
[3] Shaanxi Normal Univ, Sch Math & Stat, Xian, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
derivation; anti-derivation; higher derivation; higher anti-derivation; higher Jordan triple derivation; MAPPINGS;
D O I：
10.3934/math.2024338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a 2torsion free *-type trivial extension algebra is a sum of a higher derivation and a higher anti -derivation. As for its applications, higher Jordan triple derivations on triangular algebras are characterized.
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页码：6933 / 6950
页数：18
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