| 拟阵中算子的性质 |
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| 引用本文： | 郭建胜,李生刚.拟阵中算子的性质[J].陕西师范大学学报,2007,35(1):13-16. |
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| 作者姓名： | 郭建胜 李生刚 |
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| 作者单位： | 陕西师范大学数学与信息科学学院 陕西西安710062 |
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| 摘 要： | 在有限集上定义了闭包、内部、外部和边界等算子,然后用类似于拓扑学中的方法研究了这些算子与拟阵之间的关系,并研究了这些算子的复合性质.结果表明,这些算子的每一个都可以确定惟一的一个拟阵,Kuratowski 14集定理在拟阵中成立.
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| 关 键 词： | 拟阵 算子 闭包 边界 |
| 文章编号： | 1672-4291（2007）01-0013-04 |
| 修稿时间： | 2006-04-14 |
The property of operator in matroid |
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| GUO Jian-sheng,LI Sheng-gang.The property of operator in matroid[J].Journal of Shaanxi Normal University: Nat Sci Ed,2007,35(1):13-16. |
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| Authors: | GUO Jian-sheng LI Sheng-gang |
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| Abstract: | The operators,such as closure operators,interior operators,exterior operators and boundary operators,are defined in a finite set.Then the relation between operator and matroid is researched with the methods similar to topological methods,and some properties of composition operator are studied.The results show that a matroid can be uniquely decided by each of these operators,and that the Kuratowski 14-sets theorem is valid in matroid. |
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| Keywords: | matroid operator closure boundary |
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