Complete Leibniz algebras

被引：9

作者：

Boyle, Kristen ^{[1
]}

Misra, Kailash C. ^{[2
]}

Stitzinger, Ernest ^{[2
]}

机构：

[1] Longwood Univ, Dept Math & Comp Sci, Farmville, VA 23909 USA

[2] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

JOURNAL OF ALGEBRA | 2020年 / 557卷

关键词：

Leibniz algebra; Derivations; Characteristic ideals; Completeness; IDEALS;

D O I：

10.1016/j.jalgebra.2020.04.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Leibniz algebras are certain generalizations of Lie algebras. It is natural to generalize concepts in Lie algebras to Leibniz algebras and investigate whether the corresponding results still hold. In this paper we introduce the notion of complete Leibniz algebras as a generalization of complete Lie algebras. Then we study properties of complete Leibniz algebras and their holomorphs. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：172 / 180

页数：9

共 15 条

[1] Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical [J].