Leibniz algebras whose solvable ideal is the maximal extension of the nilradical

被引：0
|
作者：
Shermatova, Z. Kh. [1 ]
Abdurasulov, K. K. [2 ]
机构：
[1] Kimyo Int Univ Tashkent, Usman Nasyr St 156, Tashkent 100121, Uzbekistan
[2] Uzbek Acad Sci, VI Romanovskiy Inst Math, Univ St 9, Tashkent 100174, Uzbekistan
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2023年
关键词：
Leibniz algebra; complete algebra; semisimple algebra; radical; nilradical; derivation; inner derivation;
D O I：
10.1142/S0219498824501986
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the so-called complete Leibniz algebras. It is known that a Lie algebra with a complete ideal is split. We will prove that this result is valid for Leibniz algebras whose complete ideal is a solvable algebra such that the codimension of nilradical is equal to the number of generators of the nilradical.
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页数：10
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