Local Derivations and Automorphisms of Direct Sum Null-Filiform Leibniz Algebras

被引：3
|
作者：
Adashev, J. Q. [1 ]
Yusupov, B. B. [1 ,2 ]
机构：
[1] Acad Sci Uzbek, Romanovskii Inst Math, Tashkent 100174, Uzbekistan
[2] Urgench State Univ, Dept Phys & Math, Urgench 220100, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 12期
关键词：
Leibniz algebras; nilpotent algebras; derivations; automorphisms; local derivations; local automorphisms; 2-LOCAL AUTOMORPHISMS;
D O I：
10.1134/S1995080222150021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to study local derivations and automorphism of some nilpotent Leibniz algebras. We prove that direct sum null-filiform nilpotent Leibniz algebras as a rule admit local derivations which are not derivations. Some results concerning local automorphisms direct sum null-filiform nilpotent Leibniz algebras are obtained.
引用
收藏
页码：3407 / 3413
页数：7
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