TRIANGULABLE LEIBNIZ ALGEBRAS

被引：0

作者：

Burch, Tiffany ^{[1
]}

Stitzinger, Ernie ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 08期

关键词：

Leibniz; Lie's theorem; Triangulable; Two recognizable; FINITE VARIETIES; LIE-ALGEBRAS;

D O I：

10.1080/00927872.2015.1085997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A converse to Lie's theorem for Leibniz algebras is found and generalized. The result is used to find cases in which the generalized property, called triangulable, is 2-recognizable; that is, if all 2-generated subalgebras are triangulable, then the algebra is also. Triangulability joins solvability, supersolvability, strong solvability, and nilpotentcy as a 2-recognizable property for classes of Leibniz algebras.

引用

页码：3622 / 3625

页数：4

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