Generalizing the Borel property
Commutative Algebra
2014-02-26 v1 Combinatorics
Abstract
We introduce the notion of Q-Borel ideals: ideals which are closed under the Borel moves arising from a poset Q. We study decompositions and homological properties of these ideals, and offer evidence that they interpolate between Borel ideals and arbitrary monomial ideals.
Cite
@article{arxiv.1110.6373,
title = {Generalizing the Borel property},
author = {Christopher A. Francisco and Jeffrey Mermin and Jay Schweig},
journal= {arXiv preprint arXiv:1110.6373},
year = {2014}
}
Comments
19 pages, 1 figure