Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

被引：0

作者：

QI JING AND JI GUO-XING (College of Mathematics and Information Science

机构：

来源：

Communications in Mathematical Research | 2009年 / 25卷 / 03期

关键词：

linear map; matrix; idempotent; product of two matrices; triple Jordan product of two matrices;

D O I：

10.13447/j.1674-5647.2009.03.008

中图分类号：

O151.21 [矩阵论];

学科分类号：

摘要：

Let T;be the algebra of all n×n complex upper triangular matrices. We give the concrete forms of linear injective maps on T;which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices.

引用

页码：253 / 264

页数：12

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