| 同型系统间的同态映射与同构映射 |
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| 引用本文： | 王彩霞,贺兴时,张娟娟. 同型系统间的同态映射与同构映射[J]. 纺织高校基础科学学报, 2011, 24(3): 394-396 |
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| 作者姓名： | 王彩霞 贺兴时 张娟娟 |
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| 作者单位： | 西安工程大学理学院,陕西西安,710048 |
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| 基金项目： | 陕西省教育厅专项基金资助项目 |
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| 摘 要： | 给出了同型系统的同态、同构概念,并引入了给定系统的诱导系统.利用映射及同态公式,刻划了同型系统间的同态(同构)关系,并得出了同型系统与其诱导系统的同态(同构)关系,在此基础上给出了一些应用.
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| 关 键 词： | 同型系统 同态映射 同构映射 诱导系统 |
Homomorphic mapping and isomorphic mapping between homotypic systems |
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| WANG Cai-xia,HE Xing-shi,ZHANG Juan-juan. Homomorphic mapping and isomorphic mapping between homotypic systems[J]. Basic Sciences Journal of Textile Universities, 2011, 24(3): 394-396 |
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| Authors: | WANG Cai-xia HE Xing-shi ZHANG Juan-juan |
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| Affiliation: | (School of Science,Xi′an Polytechnic University,Xi′an 710048,China) |
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| Abstract: | The concept of homomorphism and isomorphism of homotypic system is given,and induced system of a given system is introduced.Substantial connection between homomorphism(isomorphism) of homotypic system is described,and its induced system is described by the mapping and homomorphic formula.Some applications are given respectively. |
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| Keywords: | homotypic system homomorphic mapping isomorphic mapping induced system |
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