Hilbert's Syzygy Theorem for monomial ideals
Commutative Algebra
2017-11-29 v1
Abstract
We give a new proof of Hilbert's Syzygy Theorem for monomial ideals. In addition, we prove the following. If S=k[x_1,...,x_n] is a polynomial ring over a field, M is a squarefree monomial ideal in S, and each minimal generator of M has degree larger than i, then the projective dimension of S/M is at most n-i.
Cite
@article{arxiv.1711.09999,
title = {Hilbert's Syzygy Theorem for monomial ideals},
author = {Guillermo Alesandroni},
journal= {arXiv preprint arXiv:1711.09999},
year = {2017}
}