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同构映射的具体表达式
引用本文:高艳春.同构映射的具体表达式[J].甘肃联合大学学报(自然科学版),2009(Z2):15-16.
作者姓名:高艳春
作者单位:宁夏大学数学计算机学院;
摘    要:文1]中定理12从理论上证明了两个有限维线性空间同构的充分必要条件是它们有相同的维数.在教学中,经常遇到如何构造两个有限维线性空间的同构映射的问题.本文给出同构映射的具体表达式,并给出具体例子.

关 键 词:线性空间    维数  同构映射

The Concrete Representation of Isomorphic Mapping
GAO Yan-chun.The Concrete Representation of Isomorphic Mapping[J].Journal of Gansu Lianhe University :Natural Sciences,2009(Z2):15-16.
Authors:GAO Yan-chun
Institution:GAO Yan-chun(School of Mathematics and Computer,Ningxia University,Yinchuan 750021,China)
Abstract:The theorem 12 in article 1] proves that the necessary and sufficiont condition,the isomorphism of two finite dimension linear spaces is that they have the same dimension.We always meet problems that how to construct the isomorphic mapping of two finite dimension linear spaces in teaching.This article gives the concrete representation of isomorphic mapping and gives the concrete exmples.
Keywords:Linear space  base  dimension  isomorphic mapping  
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