Maps on infinite triangular matrices preserving idempotents

被引:12
作者
Slowik, Roksana [1 ]
机构
[1] Silesian Tech Univ, Inst Math, Gliwice, Poland
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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