Commutativity preserving mappings on semiprime rings

被引：41
|
作者：
Banning, R
Mathieu, M
机构：
[1] Mathematisches Institut, Universität Tübingen, D-72076 Tübingen
来源：
COMMUNICATIONS IN ALGEBRA | 1997年 / 25卷 / 01期
关键词：
D O I：
10.1080/00927879708825851
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain a representation theorem for bijective additive mappings preserving commutativity in both directions on 2-torsion free unital centrally closed semiprime rings such that the ideal associated with the second Kaplansky polynomial is essential. The same methods also yield descriptions of Lie automorphisms and Lie derivations.
引用
收藏
页码：247 / 265
页数：19
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