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多单环的一种嵌入扩张方法及性质
引用本文:王自全.多单环的一种嵌入扩张方法及性质[J].西南师范大学学报(自然科学版),2001,26(4):384-387.
作者姓名:王自全
作者单位:重庆三峡学院数学系
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。

关 键 词:左单位元  嵌入扩张  同态环  多单环
文章编号:1000-5471(2001)04-0384-04

A Method of Imbedding-Augmenting and Some Properties of Multi-Identity Rings
WANG Zi-quan Dept. of mathematics,Chongqing Three Gorges Institute,Chongqing ,China.A Method of Imbedding-Augmenting and Some Properties of Multi-Identity Rings[J].Journal of Southwest China Normal University(Natural Science),2001,26(4):384-387.
Authors:WANG Zi-quan Dept of mathematics  Chongqing Three Gorges Institute  Chongqing  China
Institution:WANG Zi-quan Dept. of mathematics,Chongqing Three Gorges Institute,Chongqing 404000,China
Abstract: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.
Keywords:left identical element  imbedding  augmenting  homomorphism ring
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