| 构形和拟阵的同构映射及关于超可解的几个性质 |
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| 引用本文： | 孙志业,裴东河,高瑞梅.构形和拟阵的同构映射及关于超可解的几个性质[J].山东大学学报(理学版),2009,44(1):59-62. |
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| 作者姓名： | 孙志业 裴东河 高瑞梅 |
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| 作者单位： | 东北师范大学数学与统计学院,吉林,长春,130024
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| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划 |
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| 摘 要： | 给出了中心超平面构形相交半序集及与其对应的简单拟阵平坦格的同构映射的对应关系,证明了这个映射若限制在模元组成的集合上,也是同构映射,且给出相交半序集和平坦格的模元秩函数之间的关系。另外,还讨论了关于超可解的几个性质。
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| 关 键 词： | 超平面构形 拟阵 超可解 |
| 收稿时间： | 2008-08-14 |
Isomorphism between arrangements and matroids and some properties of super-solvability |
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| SUN Zhi-ye,PEI Dong-he,GAO Rui-mei.Isomorphism between arrangements and matroids and some properties of super-solvability[J].Journal of Shandong University,2009,44(1):59-62. |
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| Authors: | SUN Zhi-ye PEI Dong-he GAO Rui-mei |
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| Institution: | School of Mathematics and Statistics;Northeast Normal University;Changchun 130024;Jilin;China |
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| Abstract: | The one-to-one correspondence between the intersection poset of a central arrangement and the lattice of flats of a corresponding matroid was given,and if the above isomorphism restrict on the set of modular elements,then another isomorphism can be obtained.The relationship of the rank function between the intersection poset and the lattice of flats was provided.In addition,some properties of super-solvability were discussed. |
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| Keywords: | hyperplane arrangements matroids super-solvable |
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