Nonlinear Lie derivations of incidence algebras of finite rank

被引：5

作者：

Yang, Yuping ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Derivation; nonlinear Lie derivation; incidence algebra; JORDAN DERIVATIONS; AUTOMORPHISMS; INVOLUTIONS;

D O I：

10.1080/03081087.2019.1635979

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a finite preordered set, R a 2-torsion free commutative ring with unity and the incidence algebra of X over R. In this paper we prove that every nonlinear Lie derivation of is of the standard form. More explicitly, each nonlinear Lie derivation of is a sum of an inner derivation, a transitive induced derivation, an additive induced derivation and a central-valued map.

引用

页码：1665 / 1682

页数：18

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