Generalizing the Borel property
arXiv:1110.6373 · doi:10.1112/jlms/jds071
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.
19 pages, 1 figure