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
收藏
页码：3130 / 3140
页数：11
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