多单环的一种嵌入扩张方法及性质  

A Method of Imbedding-Augmenting and Some Properties of Multi-Identity Rings

作　　者：王自全[1] 

机构地区：[1]重庆三峡学院数学系,重庆万州404000

出　　处：《西南师范大学学报（自然科学版）》2001年第4期384-387,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：首先给出了一种建立多单环的嵌入扩张方法 ,并利用该方法构造出一类多单环 .然后讨论了多单环的性质 ,得到判别一类多单环的同态像是多单环的充要条件 .A special method of multi identity ring imbedding augmenting is given out. A class of multi identity rings are constructed by the methods. The properties of the multi identity rings are also discussed. A sufficient necessary condition is gained that homomorphs on a class of multi identity rings is as multi identity ring or not.

关 键 词：左单位元 嵌入扩张 同态环 多单环 

分 类 号：O153.3[理学—数学]