摘要
本文研究全矩阵环上2重函数恒等式中各个映射的表示形式,并利用得到的结果描述全矩阵环上的中心映射,从而将Brešar的结果推广到全矩阵环上.
In this paper,we study the mappings on functional identities of degree 2 in full matrix rings,and use the results obtained to describe centralizing mappings in full matrix rings.We generalize the results of Brešar to the full matrix ring case.
作者
袁鹤
莫增崇
YUAN He;MO Zengchong(College of Mathematics and Computer,Jilin Normal University,Siping,Jilin,136000,P.R.China)
出处
《数学进展》
CSCD
北大核心
2022年第6期1103-1118,共16页
Advances in Mathematics（China）
基金
Supported by the project of Jilin Science and Technology Department(No.YDZJ202201-ZYTS622)
the project of Jilin Education Department(No.JJKH20220422KJ)。
关键词
函数恒等式
全矩阵环
中心映射
functional identity
full matrix ring
centralizing mapping
