Adrian Popescu: Special Stanley Decompositions, p.363-372

Abstract:

Let $I$ be an intersection of three monomial prime ideals of a polynomial algebra $S$ over a field. We give a special Stanley decomposition of $I$ which provides a lower bound of the Stanley depth of $I$, greater or equal with $\depth\ (I)$, that is Stanley's Conjecture holds for $I$.

Key Words: Monomial Ideals, Stanley decompositions, Stanley depth.

2000 Mathematics Subject Classification: Primary: 13C15;
Secondary: 13F20, 13F55, 13P10.

Download the paper in pdf format here.