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

被引：4

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

页码：3407 / 3413

页数：7

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