A note on Stanley's conjecture for monomial ideals

Mathematics – Commutative Algebra

Scientific paper

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This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.5

Scientific paper

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. $sdepth(I)\geq
depth(I)$.

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