Size and Stanley depth of monomial ideals
arXiv:1602.06760
Abstract
The Lyubeznik size of a monomial ideal of a polynomial ring is a lower bound for the Stanley depth of decreased by . A proof given by Herzog-Popescu-Vladoiu had a gap which is solved here.
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