Commuting maps over the ring of strictly upper triangular matrices

被引：17

作者：

Bounds, Jordan ^{[1
]}

机构：

[1] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 507卷

关键词：

Commuting maps; Upper triangular matrices;

D O I：

10.1016/j.laa.2016.05.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let N-r, r >= 4, be the ring of strictly upper triangular matrices with entries in a field F of characteristic zero. We describe all linear maps f : N-r -> N-r satisfying [f(x), x] = 0 for every x is an element of N-r. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：132 / 136

页数：5