Article ID Journal Published Year Pages File Type
4587410 Journal of Algebra 2009 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory