Generalizing the Borel property
classification
🧮 math.AC
math.CO
keywords
idealsborelarbitraryarisingcloseddecompositionsevidencegeneralizing
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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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