2-Local derivations on generalized Witt algebras

被引：16

作者：

Ayupov, Shavkat ^{[1
,2
]}

Kudaybergenov, Karimbergen ^{[3
]}

Yusupov, Baxtiyor ^{[2
]}

机构：

[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent, Uzbekistan

[2] Natl Univ Uzbekistan, Dept Math, 4 Univ St, Tashkent 100174, Uzbekistan

[3] Karakalpak State Univ, Dept Math, Nukus, Uzbekistan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 16期

关键词：

Generalized Witt algebra; derivation; 2-local derivation; LOCAL AUTOMORPHISMS;

D O I：

10.1080/03081087.2019.1708846

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study 2-local derivations on the so-called infinite dimensional generalized Witt algebras. Firstly, we prove that every 2-local derivation on the generalized Witt algebra over the vector space is a derivation, where is a field of characteristic zero. Further we consider generalized Witt algebras of the form over the field , where I is an infinite index set and and prove that all 2-local derivations on are also derivations. Finally, we show that every 2-local derivation on the Borel subalgebra of is a derivation.

引用

页码：3130 / 3140

页数：11

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