Global Rank Axioms for Poset Matroids

作     者：ShuChaoLI YanQinFENG 

作者机构：DepartmentofMathematicsCentralChinaNormalUniversityWuhan430079P.R.China DepartmentofMathematicsNanjingUniversityNanjing210093P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2004年第20卷第3期

页      面：507-514页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Granted No.103710438) Education Ministry of China (Granted No.02139) 

主　　题：Poset matroids Rank function Combinatorial scheme Distributive lattice 

摘      要：An excellent introduction to the topic of poset matroids is due to Barnabei, Nicoletti and Pezzoli. In this paper, we investigate the rank axioms for poset matroids; thereby we can characterize poset matroids in a “global version and a “pseudo-global version. Some corresponding properties of combinatorial schemes are also obtained.