Stanley's conjecture for critical ideals
Commutative Algebra
2018-10-01 v1
Abstract
Let S=K[x_1,x_2,...,x_n] be a polynomial ring in n variables over a field K. Stanley's conjecture holds for the modules I and S/I, when I is a critical monomial ideal. We calculate the Stanley depth of S/I when I is a canonical critical monomial ideal. For non critical monomial ideals we show the existence of a Stanley ideal with the same depth and Hilbert function.
Cite
@article{arxiv.0905.0960,
title = {Stanley's conjecture for critical ideals},
author = {Azeem Haider and Sardar Mohib Ali Khan},
journal= {arXiv preprint arXiv:0905.0960},
year = {2018}
}
Comments
5 pages