COMMUTING MAPS ON STRICTLY UPPER TRIANGULAR MATRIX RINGS

被引：1
|
作者：
Ko, Shu-wen [1 ]
Liu, Cheng-kai [1 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan
来源：
OPERATORS AND MATRICES | 2023年 / 17卷 / 04期
关键词：
Commuting map; functional identity; strictly upper triangular matrix ring; semiprime ring; FUNCTIONAL IDENTITIES; CENTRALIZING MAPS; ADDITIVE MAPS; DERIVATIONS; MAPPINGS; SET;
D O I：
10.7153/oam-2023-17-67
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let R be either a ring with 1 or a semiprime ring not necessarily with 1 and let Nn(R) be the n x n strictly upper triangular matrix ring over R , where n 3 is an integer. We completely characterize additive maps f : Nn(R)-> Nn(R) satisfying [f(x) ,x] = 0 for all x E Nn(R). Our theorem naturally generalizes a recent result obtained by Bounds [3] for strictly upper triangular matrix rings over a field of characteristic 0.
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页码：1023 / 1036
页数：14
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