| 关于格的卡氏积的特征多项式和几何性 |
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| 引用本文： | 钱国栋,赵燕冰,霍元极.关于格的卡氏积的特征多项式和几何性[J].数学的实践与认识,2010,40(15). |
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| 作者姓名： | 钱国栋 赵燕冰 霍元极 |
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| 基金项目： | 海南自然科学基金资助项目，张家口市科学研究项目 |
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| 摘 要： | 利用格L_i(i=1,2)的性质研究了它们的卡氏积L=L_1×L_2的性质,得到了L的秩函数、Mbius函数和特征多项式,并且由L_i的几何性证明了L的几何性.
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| 关 键 词： | 秩函数 卡氏积 格 Mbius函数 特征多项式 几何性 |
On Characteristic Polynomial and Geometric Properties of Descartes Product of Lattice |
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| QIAN Guo-dong,ZHAO Yan-bing,HUO Yuan-ji.On Characteristic Polynomial and Geometric Properties of Descartes Product of Lattice[J].Mathematics in Practice and Theory,2010,40(15). |
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| Authors: | QIAN Guo-dong ZHAO Yan-bing HUO Yuan-ji |
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| Abstract: | With the properties of both lattices L_i(i=1,2),it is studied the properties of Descartes product L=L_1×L_2 and obtained its the rank function and the Mbius function and the characteristic polynomial and from geometric properties of L_i to prove geometric properties of L. |
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| Keywords: | lattice Descartes product rank function Mbius function characteristic polynomial geometric properties |
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