Base axioms of modular supermatroids (Q1714501)

Summary: This paper studies axiom systems of supermatroids. \textit{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.