| 拟阵Q_6与W~4可F-线性表示的构造 |
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| 引用本文： | 吕国亮,陈斌. 拟阵Q_6与W~4可F-线性表示的构造[J]. 科学技术与工程, 2009, 9(7) |
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| 作者姓名： | 吕国亮 陈斌 |
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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： | 对拟阵 Q6与W4可F-线性表示的构造进行了研究.用E(G)在R上的链群F0(G,R)表示G的圈拟阵M(G);用松弛拟阵M的极小圈超平面X的方法得到拟阵M′.得到主要结果为:(1)用链群表示了M(K4),M(W4);(2)用松弛极小圈超平面的方法从M(K4)构造了Q6,从M(W4)构造了W4,找出了W4可线性表示的所有域F.
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| 关 键 词： | 链群 圈拟阵 单扩域 极小圈超平面 松弛 F-可线性表示 |
Structure in F-line Representative of the Matroid Q_6 and W~4 |
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| L Guo-liang,CHEN Bin. Structure in F-line Representative of the Matroid Q_6 and W~4[J]. Science Technology and Engineering, 2009, 9(7) |
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| Authors: | L Guo-liang CHEN Bin |
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| Affiliation: | Department of the Mathematics and Information Science Weinan teachers college;Weinan 714000;P.R.China |
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| Abstract: | The constructions of the F-respresentable matroid Q6 and W4 are investigated.The cycle matroid M(G) of G is charactered by the chain-group F0(G,R) on E(G) over R,and the matroid M' is obtained by relaxing the circuit-hyperperplane X of the matroid M.It is proved that M(K4) and M(W4) can be respresented by chaingroup and Q6 is construct by relaxing the circuit-hyperplane.W4 is constructed by M(W4) and the field F that W4 is representable is obtained. |
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| Keywords: | chain group cycle matroid simple areas circuit-hyperplane F-line representative |
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