| 划分与传递闭包 |
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| 引用本文： | 焦占亚,胡予濮. 划分与传递闭包[J]. 兰州理工大学学报, 2004, 30(5): 130-132 |
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| 作者姓名： | 焦占亚 胡予濮 |
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| 作者单位： | 陕西科技大学,计算机与信息工程学院,陕西,咸阳,712081;西安电子科技大学,通信工程学院,陕西,西安,710071 |
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| 基金项目： | 国家自然科学基金(60273084) |
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| 摘 要： | 证明了集合的任意两个划分的和导出的等价关系是这两个划分导出的等价关系的并集的传递闭包,任意两个划分的积导出的等价关系是这两个划分导出的等价关系的交集.
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| 关 键 词： | 集合的划分 传递闭包 商集 |
| 文章编号： | 1000-5889(2004)05-0130-03 |
| 修稿时间： | 2003-11-24 |
Partition of a set and transitive closure |
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| JIAO Zhan-ya,HU Yu-pu. Partition of a set and transitive closure[J]. Journal of Lanzhou University of Technology, 2004, 30(5): 130-132 |
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| Authors: | JIAO Zhan-ya HU Yu-pu |
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| Affiliation: | JIAO Zhan-ya~1,HU Yu-pu~2 |
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| Abstract: | It is proved that the equivalence relation determined by the sum of any two partitions in a set is a transitive closure of union of equivalence relation determined by these two partitions;the equivalence relation determined by the product of any two partitions of a set is an intersection of equivalence relation determined by these two partitions. |
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| Keywords: | partition of a set transitive closure quotient set |
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