English

Size and Stanley depth of monomial ideals

Commutative Algebra 2016-06-10 v9

Abstract

The Lyubeznik size of a monomial ideal II of a polynomial ring SS is a lower bound for the Stanley depth of II decreased by 11. A proof given by Herzog-Popescu-Vladoiu had a gap which is solved here.

Keywords

Cite

@article{arxiv.1602.06760,
  title  = {Size and Stanley depth of monomial ideals},
  author = {Dorin Popescu},
  journal= {arXiv preprint arXiv:1602.06760},
  year   = {2016}
}

Comments

The previous simplified version was wrong. This version follows the version 7 but just for the first inequality, the second one for cyclic modules being open

R2 v1 2026-06-22T12:55:02.621Z