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一个互素性质的矩阵形式与有限Abel群的直积分解
引用本文:熊廷煌.一个互素性质的矩阵形式与有限Abel群的直积分解[J].长江大学学报(社会科学版),1995(5).
作者姓名:熊廷煌
摘    要:本文将一个整数互素的性质赋予了矩阵形式和新的内涵,并由此导出了有限Abel群直积分解定理的一个新的简单的证明。

关 键 词:互素  Abel群  有限生成  直积分解

THE MATRIX FORM FOR A PROPERTY OF RELATIVELY PRIME AND DIRECT PRODUCT DECOMPOSITIONS OF FINITELY GENERATED ABELIAN GROUPS
Xiong Tinghuang.THE MATRIX FORM FOR A PROPERTY OF RELATIVELY PRIME AND DIRECT PRODUCT DECOMPOSITIONS OF FINITELY GENERATED ABELIAN GROUPS[J].Journal of Yangtze University:Social Sciences,1995(5).
Authors:Xiong Tinghuang
Institution:Mathematics Department
Abstract:In this paper,the author give the matrix form and a new meaning for a property of relatively prime,and this result Leads up to a new simple proof of the theorem for direct product decompositions of finitely generated Abelian groups.
Keywords:relatively prime  Abelian groups  finitely generated  direct product decompositions
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