Binomial canonical decompositions of binomial ideals
Commutative Algebra
2010-05-10 v3
Abstract
In this paper, we prove that every binomial ideal in a polynomial ring over an algebraically closed field of characteristic zero admits a canonical primary decomposition into binomial ideals. Moreover, we prove that this special decomposition is obtained from a cellular decomposition which is also defined in a canonical way and does not depend on the field.
Cite
@article{arxiv.1003.1701,
title = {Binomial canonical decompositions of binomial ideals},
author = {Ignacio Ojeda},
journal= {arXiv preprint arXiv:1003.1701},
year = {2010}
}
Comments
13 pages, LaTeX. Example 1.5 added. Introduction improved. References removed Typos corrected