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同型系统间的同态映射与同构映射
Homomorphic mapping and isomorphic mapping between homotypic systems
【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.
【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.
【关键词】 同型系统;
同态映射;
同构映射;
诱导系统;
【Key words】 homotypic system; homomorphic mapping; isomorphic mapping; induced system;
【Key words】 homotypic system; homomorphic mapping; isomorphic mapping; induced system;
【基金】 陕西省教育厅专项基金资助项目(08JK432)
- 【文献出处】 纺织高校基础科学学报 ,Basic Sciences Journal of Textile Universities , 编辑部邮箱 ,2011年03期
- 【分类号】O153
- 【被引频次】1
- 【下载频次】136