Nilpotent Structure of Generalized Semicommutative Rings  

作　　者：Ping HE Liang ZHAO 

机构地区：[1]School of Mathematics and Physics,Anhui University of Technology,Anhui 243032,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2022年第2期133-144,共12页数学研究及应用（英文版）

基　　金：Supported by the Natural Science Foundation of Jiangsu Province(Grant No.BK20181406);the National Natural Science Foundation of China(Grant No.12161049)。

摘　　要：We study the nilpotent structure of generalized semicommutative rings.The new concept of nilpotentα-semicommutative rings is defined and studied.This class of rings is closely related to many well-known concepts including semicommutative rings,α-semicommutative rings and weakα-rigid rings.An example is given to show that a nilpotentα-semicommutative ring need not beα-semicommutative.Various properties of this class of rings are investigated.Many known results related to various semicommutative properties of rings are generalized and unified.

关 键 词：nilpotentα-semicommutative rings α-rigid rings α-semicommutative rings polynomial rings 

分 类 号：O153.3[理学—数学]