Endomorphisms which preserve orbits of free metabelian Leibniz algebras

被引：0
|
作者：
Tas, Tuba Adiyama [1 ,2 ]
Ozkurt, Zeynep [1 ]
机构：
[1] Cukurova Univ, Dept Math, Adana, Turkiye
[2] Cukurova Univ, Dept Math, TR-01330 Adana, Turkiye
来源：
COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 02期
关键词：
Automorphism; free metabelian Leibniz algebras; orbit; test element; AUTOMORPHISMS;
D O I：
10.1080/00927872.2023.2245888
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let M be the free metabelian Leibniz algebra of rank two over a field K of characteristic 0. In this article, we show that an endomorphism of M which preserves the orbit of a nontrivial certain kind of element w ? M'' is an automorphism. Additionally, we give some test elements.
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页码：566 / 571
页数：6
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