Generalizing the Borel property

Details Generalizing the Borel property Generalizing the Borel property

2011-10-28

arxiv.org/abs/1110.6373v1

Mathematics

Commutative Algebra

19 pages, 1 figure

Scientific paper

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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