强α-弱对称环  

On strongly α-weak symmetric rings

作　　者：薛岭[1] 王尧[1] 任艳丽[2] 

机构地区：[1]南京信息工程大学数学与统计学院,江苏南京210044 [2]南京晓庄学院数学与信息技术学院,江苏南京211171

出　　处：《东北师大学报（自然科学版）》2016年第2期14-18,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(41275117);江苏省自然科学基金资助项目(BK20141476)

摘　　要：引进了强α-弱对称环的概念并研究其基本性质,讨论了强α-弱对称环与弱对称环、强α-弱半交换环等相关环的关系,给出强α-弱对称环的一些扩张性质,得到了判定强α-弱对称环的几个充要条件.The concept of strongly α-weak symmetric rings is introduced and some of its basic properties are investigated.The relationships between strongly α-weak symmetric rings and related rings such as weakly symmetric,strongly α-weak semicommutative rings are discussed,and some extensions of strongly α-symmetric rings are studied.Some necessary and sufficient conditions are given to judge α-weak symmetric ring.

关 键 词：强α-弱对称环 强α-弱半交换环 弱α-相容环 NI环 斜多项式环 

分 类 号：O153.3[理学—数学]