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
收藏
页码：938 / 964
页数：27
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