BIDERIVATIONS AND LINEAR COMMUTING MAPS ON SIMPLE GENERALIZED WITT ALGEBRAS OVER A FIELD

被引：59

作者：

Chen, Zhengxin ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2016年 / 31卷

基金：

中国国家自然科学基金;

关键词：

Biderivations; Commuting maps; Simple generalized Witt algebras; TRIANGULAR ALGEBRAS; LIE-ALGEBRAS; PRIME-RINGS; MAPPINGS; TRACES; AUTOMORPHISMS;

D O I：

10.13001/1081-3810.3100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let W be a simple generalized Witt algebras over a field of characteristic zero. In this paper, it is proved that each anti-symmetric biderivation of W is inner. As an application of biderivations, it is shown that a linear map psi on W is commuting if and only if psi is a scalar multiplication map on W. The commuting automorphisms and derivations of W are determined.

引用

页码：1 / 12

页数：12

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