On the endomorphisms and derivations of some Leibniz algebras

被引：7
作者：
Kurdachenko, Leonid A. [1 ]
Subbotin, Igor Ya [2 ]
Yashchuk, Viktoriia S. [1 ]
机构：
[1] Oles Honchar Dnipro Natl Univ, Fac Mech & Math, Dept Geometry & Algebra, Gagarin Ave 72, UA-49010 Dnipro, Ukraine
[2] Natl Univ, Dept Math & Nat Sci, 5245 Pacific Concourse Dr, Los Angeles, CA 90045 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年 / 23卷 / 01期
关键词：
Derivation; endomorphism; finitary matrix; ideal; Leibniz algebra; Lie algebra; monoid; CENTRAL SERIES;
D O I：
10.1142/S0219498824500026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the endomorphisms and derivations of an infinite-dimensional cyclic Leibniz algebra. Among others it was found that if L is a cyclic infinite-dimensional Leibniz algebra over a field F, then the group of all automorphisms of L is isomorphic to a multiplicative group of the field F. The description of an algebra of derivations of a cyclic infinite-dimensional Leibniz algebra has been obtained.
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页数：23
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