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Base axioms of modular supermatroids. (English) Zbl 1406.05014

Summary: This paper studies axiom systems of supermatroids. M. Barnabei et al.’s base axioms [Adv. Appl. Math. 21, No. 1, 78–112 (1998; Zbl 0908.05025)] concerning poset matroids (i.e., distributive supermatroids) are generalized to modular supermatroids, and a mistake in the proof of base axioms of poset matroids is pointed out.

MSC:

05B35 Combinatorial aspects of matroids and geometric lattices

Citations:

Zbl 0908.05025
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