How to compute the Stanley depth of a monomial ideal

Details How to compute the Stanley depth of a monomial ideal How to compute the Stanley depth of a monomial ideal

2007-12-14

arxiv.org/abs/0712.2308v1

Mathematics

Commutative Algebra

Scientific paper

Let $J\subset I$ be monomial ideals. We show that the Stanley depth of $I/J$ can be computed in a finite number of steps. We also introduce the $\fdepth$ of a monomial ideal which is defined in terms of prime filtrations and show that it can also be computed in a finite number of steps. In both cases it is shown that these invariants can be determined by considering partitions of suitable finite posets into intervals.

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