Maps on infinite triangular matrices preserving idempotents

被引：11

作者：

Slowik, Roksana ^{[1
]}

机构：

[1] Silesian Tech Univ, Inst Math, Gliwice, Poland

来源：

LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 07期

关键词：

preserver; idempotent; infinite triangular matrix; 15A86; 15A04;

D O I：

10.1080/03081087.2013.801965

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider maps phi of triangular infinite matrices over fields F of characteristic different from 2, that have the following property: x - lambda y is idempotent if and only if phi(x) - lambda phi(y) is idempotent for all lambda is an element of F. We show that every such map is a sum of compositions of some standard maps.

引用

页码：938 / 964

页数：27

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