一类具强内射的正则环  

The regular rings with strongly injective

作　　者：刘云萍 金海兰 LIU Yunping;JIN Hailan(College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《延边大学学报（自然科学版）》2022年第1期37-40,共4页Journal of Yanbian University（Natural Science Edition）

摘　　要：研究了正则环与强CP内射环的等价关系,证明了当R为MELT环时,R的正则性与弱正则性是等价的,同时证明了当R为约化环时,R的正则性与强CP内射性的等价关系,并得出了当R为半本原左拟duo环时,R的正则性、弱正则性与强CP内射性是等价的.We studied the equivalence relationship between regular rings and strong completely principal injective rings.It is proved that the regularity of R is equivalent to weak regularity when R is MELT ring,and the regularity of R is equivalent to strong CP-injective when R is reduced ring.And it is concluded that when R is semiprimitive left quasi-duo ring,the regularity and weak regularity of R are equivalent to the strong CPinjective property.

关 键 词：正则环 弱正则环 强CP内射环 约化环 MELT环 

分 类 号：O153.3[理学—数学]