A note on Stanley's conjecture for monomial ideals

Abstract

We prove that the Stanley's conjecture holds for monomial ideals $I\subset K[x_1,...,x_n]$ generated by at most $2n-1$ monomials, i.e. $sdepth(I)\ge depth(I)$.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.5