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.

引用

页码：6933 / 6950

页数：18

共 21 条

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