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| 摘要: |
| 本文研究了有限集合[n]={1, 2, …, n}的部分映射生成的格. 利用秩函数和Möbius函数, 讨论了这类格的几何性, 得到了它们的特征多项式. 推广了有限集合生成格的相关性质. |
| 关键词: 部分映射 原子格 特征多项式 |
| DOI： |
| 分类号:O153.1 |
| 基金项目:Supported by NSF of Hebei Education Department (ZH2012082); NSF of Hebei Province (A2012408003; A2013408009); the Foundation of Langfang Teachers' College (LSBS201206; LSZQ201202; LSZY201003; Association Scheme and Its Related Theory of Combination in 2013). |
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| LATTICES GENERATED BY PARTIAL MAPS OF FINITE SETS |
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XU Qiu-li,ZHANG Bao-huan,JIANG Wei,LIU Jun-li
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| Abstract: |
| In this paper, the Lattices generated by partial maps for the finite set [n] = {1, 2, …, n} is investigated. By using the rank function and the Möbius function, we discuss the geometricity of such lattices. Finally, their characteristic polynomials are obtained, which generalize the results of lattice generated by finite set. |
| Key words: partial map atomic lattice characteristic polynomial |
