3、对象的元素之间的联系而且也能反映出这两个数学对象之间的某种结构上的联系,并且同态是一个较为初等但又极为重要的概念，是学习群的同态映射、环的同态映射和线性空间等其他相关概念的的基础，在这里阐述了同态映射在群中，环中及其线性空间中的性质，从中说明了同态映射的重要性关键词：同态映射；群；环；线性空间；III2013级数学与应用数学专业毕业论文Title:InvarianceunderhomomorphicmappingalgebraicsystemofinquiryAbstract:The main researching conte
4、nts of modern algebra is the so-called algebraic system, namely with the set of operations. In other branches of mathematics and modern algebra of natural science has important application in many departments. In mathematics, the connection between the mathematical o
5、bjects often is to pass a special mapping to reflect that these maps not only established the connection between the two elements of mathematical object and can also reflect the two structures of some links between mathematical objects, and homomorphism is an element
6、ary but very important concept, is the study of the homomorphic mapping, ring homomorphic mapping and the basis of linear space, and other related concepts, elaborated the homomorphic mapping here in the group, in the ring and its properties of linear space, to illus
7、trate the importance of a homomorphic mapping from it Keywords:Homomorphic mapping; Group; Ring; Linear space; III2013级数学与应用数学专业毕业论文目录摘要IAbstractII1绪论11.1引言11.2代数系统下同态映射及其定义11.2.1同态映射的定义11.2.2同态的定义11.2.3简化网络管12同态映射的应用22.1群的同态映射22.1.1群的同态映射的定义22.1.2同态映射在群中的应用22.2环的同态映
