| 有限子集系的Sperner系 |
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| 引用本文： | 黄国泰.有限子集系的Sperner系[J].数学研究及应用,1998,18(3):429-434. |
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| 作者姓名： | 黄国泰 |
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| 作者单位： | 海南师范学院 |
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| 基金项目： | 国家自然科学基金项目. |
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| 摘 要： | 1９８０年，Ｋｏ-Ｗｅｉ Ｌｉｈ提出如下猜想：如果Ｆ是由Ｂｎ中固定秩的不同元素生成的序理想，那么Ｆ是Ｓｐｅｒｎｅｒ系．本文证实了当Ｆ是由Ｘ的子集Ｙ的所有相同秩的元素生成的序理想，猜想是正确的
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| 关 键 词： | 有限子集系 Sperner系 猜想 |
Sperner Systems of Family of Subsets of a Finite Set |
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| Huang Guotai.Sperner Systems of Family of Subsets of a Finite Set[J].Journal of Mathematical Research with Applications,1998,18(3):429-434. |
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| Authors: | Huang Guotai |
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| Institution: | Hainan Normal College; Haikou 571158 |
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| Abstract: | In 1980, Lih Ko wei proposed the following conjecture: If F is an ordered ideal generated by the different elements having fixed ranks is B n , then F is a sperner system. In this paper, we prove that if F is an ordered ideal generated by all the same ranked elements of the subset Y of X , then the conjecture is true. |
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| Keywords: | family of subsets finite set sperner system conjecture |
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