A Minimal Poset Resolution of Stable Ideals
Commutative Algebra
2010-06-25 v2
Abstract
We use the theory of poset resolutions to construct the minimal free resolution of an arbitrary stable monomial ideal in the polynomial ring whose coefficients are from a field. This resolution is recovered by utilizing a poset of Eliahou-Kervaire admissible symbols associated to a stable ideal. The structure of the poset under consideration is quite rich and in related analysis, we exhibit a regular CW complex which supports a minimal cellular resolution of a stable monomial ideal.
Keywords
Cite
@article{arxiv.0812.0594,
title = {A Minimal Poset Resolution of Stable Ideals},
author = {Timothy B. P. Clark},
journal= {arXiv preprint arXiv:0812.0594},
year = {2010}
}
Comments
25 pages, 2 figures