Global Rank Axioms for Poset Matroids

Citation
Li, Shu Chao et Feng, Yan Qin, Global Rank Axioms for Poset Matroids, Acta mathematica Sinica. English series (Print) , 20(3), 2004, pp. 507-514
ISSN journal
14398516
Volume
20
Issue
3
Year of publication
2004
Pages
507 - 514
Database
ACNP
SICI code
Abstract
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.