Characterization of n-Lie-type derivations on triangular rings

被引：0
作者：
Liang, Xinfeng [1 ]
Guo, Haonan [1 ]
机构：
[1] AnHui Univ Sci & Technol, Sch Math & Big Data, Huainan 232001, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 10期
基金：
安徽省自然科学基金;
关键词：
Extremal n-derivation; nest algebras; triangular rings; upper triangular matrix rings; FUNCTIONAL IDENTITIES; BIDERIVATIONS; MAPS;
D O I：
10.1080/00927872.2024.2346301
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of the maximal left ring of quotients, this paper proves that every n-Lie m-derivation on a triangular ring can be resolved into a sum of an extremal n-derivation and an n-additive central mapping. As applications, n-Lie m-derivations on some classical triangular rings are characterized.
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页码：4368 / 4379
页数：12
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