Special Stanley Decompositions

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 than or equal to $\depth\ (I)$, that is, Stanley's Conjecture holds for $I$.

Cited by in corpus (3)

• Stanley Conjecture on intersection of three monomial primary ideals
• Stanley depth and size of a monomial ideal
• Graph and depth of a monomial squarefree ideal