2-recognizeable classes of Leibniz algebras

被引：4

作者：

Burch, Tiffany ^{[1
]}

Harris, Meredith ^{[1
]}

McAlister, Allison ^{[1
]}

Rogers, Elyse ^{[2
]}

Stitzinger, Ernie ^{[1
]}

Sullivan, S. McKay ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Univ Surrey, Guildford GU2 5XH, Surrey, England

来源：

JOURNAL OF ALGEBRA | 2015年 / 423卷

基金：

美国国家科学基金会;

关键词：

2-recognizeable; Strongly solvable; Supersolvable; Leibniz algebras; THEOREMS;

D O I：

10.1016/j.jalgebra.2014.10.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and supersolvable. These same results hold in Lie algebras and in general for groups. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：506 / 513

页数：8

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