The stable set of associated prime ideals of a polymatroidal ideal

Authors:
Jürgen Herzog;Asia Rauf;Marius Vladoiu
Affiliations:
Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, Essen, Germany 45117;The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy;Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest, Romania 010014
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2013

Citing 2
Cited 2

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Abstract

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.