The stable set of associated prime ideals of a polymatroidal ideal

By Jürgen Herzog, Asia Rauf, Marius Vladoiu. 2011

108 citations recorded by the source corpus.

The associated prime ideals of powers of polymatroidal ideals are studied, including the stable set of associated prime ideals of this class of ideals. It is shown that polymatroidal ideals have the persistence property and for transversal polymatroids and polymatroidal ideals of Veronese type the index of stability and the stable set of associated ideals is determined explicitly.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/cc69811b5dfa999359f2757e26506c97cbba4ff8