Remarks on Centers of Rings

作     者：Juan Huang Hailan Jin Tai Keun Kwak Yang Lee Zhelin Piao Juan Huang;Hailan Jin;Tai Keun Kwak;Yang Lee;Zhelin Piao

作者机构：Department of MathematicsYanbian UniversityYanjiJilin 133002China Department of MathematicsDaejin UniversityPocheon 11159Korea Institute of Basic ScienceDaejin UniversityPocheon 11159Korea 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2021年第28卷第1期

页      面：1-12页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The second author was supported by the National Natural Science Foundation of China(11361063) the third author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education of Korea(2016R1D1A1B03931190) 

主　　题：weakly reversible-over-center ring center commutative domain right Noetherian domain reduced ring full(upper)triangular matrix ring NI ring 

摘      要：It is proved that for matrices A,B in the n by n upper triangular matrix ring T_(n)(R)over a domain R,if AB is nonzero and central in T_(n)(R)then AB=*** n by n full matrix rings over right Noetherian domains are also shown to have this *** this article we treat a ring property that is a generalization of this result,and a ring with such a property is said to be weakly *** class of weakly reversible-over-center rings contains both full matrix rings over right Noetherian domains and upper triangular matrix rings over *** structure of various sorts of weakly reversible-over-center rings is studied in relation to the questions raised in the process *** also consider the connection between the property of being weakly reversible-over-center and the related ring properties.