| 循环环的结构性质 |
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| 引用本文： | 王骁力.循环环的结构性质[J].南阳师范学院学报,2012,11(6):11-14,46. |
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| 作者姓名： | 王骁力 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南南阳,473061 |
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| 基金项目： | 河南省自然科学基金项目，河南省教育厅自然科学基金项目，南阳师范学院校级资助项目 |
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| 摘 要： | 借助循环群的性质和群的同态性质证明了循环群和整数的一些性质,并通过讨论不同剩余类环中同阶子环的同构关系,给出了一个循环环的同构类型性质的结构定理的新证明.
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| 关 键 词： | 模n剩余类环 循环环 生成元 同构 |
The structural properties of the cyclic ring |
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| WANG Xiao-li.The structural properties of the cyclic ring[J].Journal of Nanyang Teachers College,2012,11(6):11-14,46. |
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| Authors: | WANG Xiao-li |
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| Institution: | WANG Xiao-li(School of Mathematics and Statistics,Nanyang Normal University,Nanyang 473061,China) |
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| Abstract: | Some results of integer were proved by using the properties of cyclic group and homomorphism of groups.And through the discussion of the sub-rings with same order in different residual class rings,a new proof was given for the isomorphic type property of the cyclic rings with the same order. |
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| Keywords: | modulo n residual class rings cyclic ring generator isomorphism |
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