Near-derivations in Lie algebras

被引：20

作者：

Bresar, Matej ^{[1
]}

机构：

[1] Univ Maribor, Dept Math & Comp Sci, FNM, SLO-2000 Maribor, Slovenia

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 10期

关键词：

Derivation; Near-derivation; Lie algebra; Associative algebra; Functional identities;

D O I：

10.1016/j.jalgebra.2008.09.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Lie algebra. We call a linear map f : L -> L a near-derivation if there exists a linear map g : L -> L such that (ad x)f - g(ad x) is a derivation for every x is an element of L. The paper is devoted to describing the structure of near-derivations in certain Lie algebras arising from associative ones. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：3765 / 3772

页数：8

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