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.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
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)
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
stronglyα-weak symmetric ring
strongly α-weak semicommutative ring
weakly α-compatible ring
NI ring
skew polynomial ring
