同型系统间的同态映射与同构映射  

Homomorphic mapping and isomorphic mapping between homotypic systems

作　　者：王彩霞[1] 贺兴时[1] 张娟娟[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《纺织高校基础科学学报》2011年第3期394-396,共3页Basic Sciences Journal of Textile Universities

基　　金：陕西省教育厅专项基金资助项目(08JK432)

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.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 

分 类 号：O153[理学—数学]