Invertibility preservers on central simple algebras

被引：5
|
作者：
Semrl, Peter [1 ]
机构：
[1] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia
来源：
JOURNAL OF ALGEBRA | 2014年 / 408卷
关键词：
Invertibility preserving linear map; Matrix over a division ring; Central simple algebra; NONSINGULAR MATRICES; LINEAR MAPPINGS; BANACH-ALGEBRAS; MAXIMAL IDEALS;
D O I：
10.1016/j.jalgebra.2014.03.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We solve Kaplansky's problem concerning the structure of linear preservers of invertibility in the special case of maps on central simple algebras. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：42 / 60
页数：19
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