The stable set of associated prime ideals of a polymatroidal ideal

Details The stable set of associated prime ideals of a polymatroidal ideal The stable set of associated prime ideals of a polymatroidal ideal

2011-09-27

arxiv.org/abs/1109.5834v2

Mathematics

Commutative Algebra

Scientific paper

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.

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