AGP-内射环与π-正则环  

AGP-Injective Rings and π-Regular Rings

作　　者：梁力[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《甘肃科学学报》2004年第4期27-29,共3页Journal of Gansu Sciences

摘　　要：　给出了AGP-内射环与π-正则环的一些联系,证明了若R为reduced环,则R是左AGP-内射环当且仅当R是π-正则环,并着重讨论了满足一定条件的AGP-内射环是π-正则环.Some connections between AGP-injective rings and π-regular rings are given here. It is proved that if R is a reduced ring, then R is a left AGP-injective ring if and only if R is a π-regular ring. Emphasis is laid on the point that AGP-injective rings are π-regular rings under some conditions.

关 键 词：AGP-射环 Π-正则环 PP-环 BAER环 

分 类 号：O153.3[理学—数学]