From Groups to Leibniz Algebras: Common Approaches, Parallel Results

被引：9

作者：

Kurdachenko, L. A. ^{[1
]}

Subbotin, I. Ya. ^{[2
]}

Semko, N. N. ^{[3
]}

机构：

[1] Dnipro Natl Univ, Dept Algebra, Gagarin Prospect 70, UA-10 Dnipro, Ukraine

[2] Natl Univ, Dept Math, 5245 Pacific Concourse Dr, Los Angeles, CA 90045 USA

[3] Univ State Fiscal Serv Ukraine, Dept Math, UA-08200 Irpin, Ukraine

来源：

ADVANCES IN GROUP THEORY AND APPLICATIONS | 2018年 / 5卷

关键词：

Leibniz algebra; Lie algebra; locally nilpotent Leibniz algebra; hypercentral Leibniz algebra; Leibniz algebra with the idealizer condition;

D O I：

10.4399/97888255161421

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.

引用

页码：1 / 31

页数：31

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