| 拟阵族N的分裂子M(K_5) |
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| 引用本文： | 吕国亮,赵小鹏. 拟阵族N的分裂子M(K_5)[J]. 科学技术与工程, 2010, 10(2) |
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| 作者姓名： | 吕国亮 赵小鹏 |
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| 作者单位： | 渭南师范学院数学与信息科学系,渭南,714000 |
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| 摘 要： | 研究拟阵族N的分裂子M(K5)。先应用分裂子定理和拟阵的单扩张定理证明:若N={M:M是二元域拟阵且M不含有同构于F*7的拟阵},则F7是N的一个分裂子。据此证明了两个结论:1.若N={M:M是正则拟阵且M不含M(K3,3)-幼阵},则M(K5)是N的一个分裂子;2.M(K5)是EX(U2,4,F7,M(K3,3))和EX(U2,4,F7*,M(K3,3))的分裂子,并得到了这两个拟阵族的正则拟阵分解表示。
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| 关 键 词： | 射影几何 分裂子 正则拟阵 模割 单扩张 |
Splitter M( K5) of Matriod Family N |
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| L Guo-liang,ZHAO Xiao-peng. Splitter M( K5) of Matriod Family N[J]. Science Technology and Engineering, 2010, 10(2) |
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| Authors: | L Guo-liang ZHAO Xiao-peng |
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| Affiliation: | Department of the Mathematics and Information Science/a>;Weinan 714000/a>;P.R.China |
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| Abstract: | The splitter M(K5) of matroid family N is studied here.First by using splitter theorem and single-element extension theorem,a proposition is derived:if N={M:M is a binary matriod and M do not include matriod which is isomorphic to F7} then F7 is a splieter of N.And then another two conclusion:1.if N={M:M is a regular matriod and M do not includeM(K3,3)-minor },then M(K5) is a splitter of N,2.M(K5) is a splitter of EX(U2,4,F7,M(K3,3)) and EX(U2,4,F7,M(K3,3)).And the representation of decomposition of regular... |
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| Keywords: | projective geometry splitter regular matroid modular cut single-element extension |
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