| 多单环的一种嵌入扩张方法及性质 |
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| 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 |
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| 作者姓名： | 王自全 |
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| 作者单位： | 重庆三峡学院数学系 |
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| 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。
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| 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 |
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| 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 edition), 2001, 26(4): 384-387 |
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| Authors: | WANG Zi-quan Dept. of mathematics Chongqing Three Gorges Institute Chongqing China |
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| Affiliation: | WANG Zi-quan Dept. of mathematics,Chongqing Three Gorges Institute,Chongqing 404000,China |
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| 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. |
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| Keywords: | left identical element imbedding augmenting homomorphism ring |
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