Séminaire Lotharingien de Combinatoire, B31g (1993).
[Formerly: Publ. I.R.M.A. Strasbourg, 1994/021, p. 17-27.]

Marilena Barnabei, Giorgio Nicoletti and Luigi Pezzoli

The Symmetric Exchange Property for Poset Matroids

Abstract. A poset matroid (i.e., a distributive supermatroid or combinatorial scheme) is a non-empty family of ideals of some poset, closed under taking subideals and enjoying the matroid augmentation property. We derive the analogue of the symmetric matroid basis exchange property in this more general context.


The paper has been finally published under the same title in Adv. Math. 102 (1993), 230-239.