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arXiv · 1110.6373

Generalizing the Borel property

Christopher A. Francisco·Jeffrey Mermin·Jay Schweig
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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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Christopher A. Francisco, Jeffrey Mermin, Jay Schweig. 2011-10-28. Generalizing the Borel property. https://doi.org/10.1112/jlms%2Fjds071

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