| Sub(L)中的五边形格特征及其数量不等式 |
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| 引用本文： | 马占新,赵萃魁.Sub(L)中的五边形格特征及其数量不等式[J].数学杂志,2002,22(4):459-463. |
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| 作者姓名： | 马占新 赵萃魁 |
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| 作者单位： | 1. 内蒙古大学经济管理学院,呼和浩特,0l0021
2. 内蒙古大学数学系,呼和浩特,010021 |
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| 摘 要： | 五边形结构在刻画格的特征方面具有十分重要作用，应用格论及组合数学的方法讨论了格L与其子格格Sub(L)中所含五边形格之间的数量关系，给出了有限格L的子格格中三个元生成五边形格的充要条件，同时给出了Sub(L)所含不同五边形格数量的一个下界。
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| 关 键 词： | 数量 不等式 有限格 子格格 五边形格 |
| 文章编号： | 0255-7797(2002)04-0459-05 |
ON CHARACTERIGATION OF THE PENTAGON LATTICE IN Sub(L) AND ITS QUANTITATIVE INEGUALITY |
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| MA,Zhan-xin.ON CHARACTERIGATION OF THE PENTAGON LATTICE IN Sub(L) AND ITS QUANTITATIVE INEGUALITY[J].Journal of Mathematics,2002,22(4):459-463. |
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| Authors: | MA Zhan-xin |
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| Abstract: | Many properties of a lattice can be characterized by the existence of some kind of pentagons.In this paper,the relationship between elements of a lattice and the number of pentagons of its sublattices are discussed based on the theory of lattice and combinatorial method.A sufficient and necessary condition on the forming of a pentagon by three elements in the sublattices-lattice of a finite lattice is given.At the same time,a lower bound of the different pentagon number of the sublattices-lattice contained in a finite lattice is provided. |
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| Keywords: | finite lattice sublattices-lattice pentagon |
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