布尔环的一个注记  

A remark on Boolean rings

作　　者：邵勇 崔璐 SHAO Yong;CUI Lu(School of Mathematics,Northwest University,Xi′an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《西北大学学报（自然科学版）》2018年第2期157-160,共4页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11571278);陕西省自然科学基金资助项目(2015JQ1020)

摘　　要：布尔环由于有着重要的应用价值而日益受到众多学者的关注,Jacobson环是布尔环的推广。文中刻画了特征为2的Jacobson环的性质,探讨了Jacobson环的乘法半群的结构。以所获结果为基础,给出了Jacobson环成为布尔环的条件。Because of the important application value,Boolean ring has been increasingly concerned by many scholars,and Jacobson rings are the extension of Boolean rings.The properties of Jacobson rings of characteristic 2 are described and the structure of the multiplicative reducts of Jacobson rings is investigated.Based on the obtained results,some conditions that Jacobson rings are Boolean rings are given.

关 键 词：布尔环 特征为2的Jacobson环 完全正则半群 幂等性 

分 类 号：O153.3[理学—数学]