| 等价关系、商集和集合的划分 |
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| 引用本文： | 许会峰,尚玉伟.等价关系、商集和集合的划分[J].保定师专学报,2009(4):23-24. |
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| 作者姓名： | 许会峰 尚玉伟 |
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| 作者单位： | 保定学院数学与计算机系;保定广播电视大学; |
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| 摘 要： | 证明了集合上的等价关系与由此产生的商集所确定的等价关系的同一性；证明了集合的划分与它确定的等价关系所产生的商集的同一性．
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| 关 键 词： | 等价关系 集合的划分 商集 |
On Equivalence Relation,Quotient Set and Partion of a Set |
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| XU Hui-feng,SHANG Yu-wei.On Equivalence Relation,Quotient Set and Partion of a Set[J].Journal of Baoding Teachers College,2009(4):23-24. |
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| Authors: | XU Hui-feng SHANG Yu-wei |
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| Institution: | 1.Department of Mathematics and Computer;Baoding University;Baoding 071000;China;2. Baoding Radio and Television University;China |
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| Abstract: | This paper proves that the equivalence relation of a set is the same as that resulted from the quotient set. It also illustrates the identity of partition of a set and quotient set derived from the equivalence relation. |
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| Keywords: | equivalence relation partition of a set quotient set |
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