Generalizing the Borel property

Published 28 Oct 2011 in math.AC and math.CO | (1110.6373v1)

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.

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