Values and bounds of the Stanley depth

Abstract

We give different bounds for the Stanley depth of a monomial ideal $I$ of a polynomial algebra $S$ over a field $K$. For example we show that the Stanley depth of $I$ is less or equal with the Stanley depth of any prime ideal associated to $S/I$. Also we show that the Stanley conjecture holds for $I$ and $S/I$ when the associated prime ideals of $S/I$ are generated by disjoint sets of variables.

11 pages

References in corpus (2)

• On the Behaviour of Stanley Depth under Variable Adjunction
• On the Stanley Depth of Squarefree Veronese Ideals

Cited by in corpus (1)

• Stanley depth of edge ideals