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Betti-linear Ideals

We introduce the notion of a Betti-linear monomial ideal, which generalizes the notion of lattice-linear monomial ideal introduced by Clark. We provide a characterization of Betti-linearity in terms of Tchernev's poset construction. As an application we obtain an explicit canonical construction for the minimal free resolutions of monomial ideals having pure resolutions.

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AuthorshipTopic signalTopic signalTopic signalRelated contextWBetti-linear Idealspreprint / 2015ADaniel WoodResearcherTmath.CO8936 worksTmath.AG5393 worksTmath.AC1492 works
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Betti-linear Ideals

preprint / 2015

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