Global rank axioms for poset matroids (Q1882496)

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scientific article; zbMATH DE number 2104909
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Global rank axioms for poset matroids
scientific article; zbMATH DE number 2104909

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    Global rank axioms for poset matroids (English)
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    1 October 2004
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    Poset matroid is a notion similar to matroid where the bases are necessarily filters of a given poset. Poset matroids are related to combinatorial schemes defined for distributive lattices. In this article the authors give an axiom system for the rank function of a poset matroid very similar to the ordinary matroid rank function axioms.
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    poset matroid
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    combinatorial scheme
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    rank function
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