关于π-弱半交换环  

On π-Weak Semicommutative Rings

作　　者：周刚 吴俊 ZHOU Gang;WU Jun(School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《南通大学学报（自然科学版）》2018年第1期69-74,共6页Journal of Nantong University(Natural Science Edition)　

基　　金：国家自然科学基金项目(11401009);安徽省自然科学基金项目(1408085QA01);安徽省教育厅自然科学重点基金项目(KJ2014A082);安徽师范大学教育基金项目(2013qnzx35)

摘　　要：给出了π-弱半交换环的概念,说明了π-弱半交换环是弱半交换环和π-半交换环的真推广.同时给出了π-弱半交换环的一些等价刻画,得到了π-弱半交换环与其他一些环之间的关系.The concept of π-weak semicommutative rings is introduced, which were the generalizations of weak semicommutative rings and π-semicommutative rings. In this paper, some properties of π-weak semicommutative ring were presented, and the relation between it and some related rings was obtained.

关 键 词：π-弱半交换环 π-半交换环 弱半交换环 ARMENDARIZ环 

分 类 号：O153.3[理学—数学]