English

A note on Stanley's conjecture for monomial ideals

Commutative Algebra 2011-07-12 v2

Abstract

We prove that the Stanley's conjecture holds for monomial ideals IK[x1,...,xn]I\subset K[x_1,...,x_n] generated by at most 2n12n-1 monomials, i.e. sdepth(I)depth(I)sdepth(I)\geq depth(I).

Keywords

Cite

@article{arxiv.0906.1303,
  title  = {A note on Stanley's conjecture for monomial ideals},
  author = {Mircea Cimpoeas},
  journal= {arXiv preprint arXiv:0906.1303},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.5

R2 v1 2026-06-21T13:10:28.269Z