Nilpotent linear transformations and the solvability of power-associative nilalgebras

被引：3

作者：

Correa, I

Hentzel, IR

Julca, PP

Peresi, LA

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05311970 Sao Paulo, SP, Brazil

[2] Univ La Serena, Dept Matemat, La Serena, Chile

[3] Iowa State Univ, Dept Math, Ames, IA 50011 USA

[4] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 396卷

基金：

巴西圣保罗研究基金会;

关键词：

nilpotent linear transformations; commutative; power-associate; nilalgebra; Albert's problem; solvable; nilpotent;

D O I：

10.1016/j.laa.2004.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some results about nilpotent linear transformations. As an application we solve some cases of Albert's problem on the solvability of nilalgebras. More precisely, we prove the following results: commutative power-associative nilalgebras of dimension n and nilindex n - 1 or n - 2 are solvable; commutative power-associative nilalgebras of dimension 7 are solvable. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：35 / 53

页数：19

共 13 条

[1] POWER-ASSOCIATIVE RINGS [J].