Centralizing maps on invertible or singular matrices over division rings

被引：28

作者：

Liu, Cheng-Kai ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 440卷

关键词：

Centralizing maps; Functional identities; Invertible matrices; Singular matrices; COMMUTING MAPS; PRIME-RINGS; FUNCTIONAL IDENTITIES; TRIANGULAR ALGEBRAS; INVOLUTION; MAPPINGS;

D O I：

10.1016/j.laa.2013.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D be a division ring and let M-n(D) be the ring of all n x n matrices over D with center Z, where n >= 2 is an integer. We describe the additive map f : M-n(D) -> M-n(D) such that f(x)x - xf(x) is an element of Z for all invertible (singular) x is an element of M-n(D). (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：318 / 324

页数：7