How to compute the Stanley depth of a monomial ideal

2007/12/14 by Herzog, Jürgen, Vladoiu, Marius, Zheng, Xinxian · 1 citation
#05E99 #13C13 #13C14 #16W70 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0712.2308

Abstract

Let J⊂ 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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