  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.

Commutative Algebra;Combinatorics