全矩阵环上的2重函数恒等式  

Functional Identities of Degree 2 in Full Matrix Rings

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)

机构地区：[1]吉林师范大学数学与计算机学院,四平吉林136000

出　　处：《数学进展》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)。

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.

关 键 词：函数恒等式 全矩阵环 中心映射 

分 类 号：O153.3[理学—数学]