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Betti-linear Ideals

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arxiv 1510.08402 v1 pith:Z5VN7TJA submitted 2015-10-28 math.AC math.AGmath.CO

classification math.ACmath.AGmath.CO
keywords monomialbetti-linearconstructionidealidealsnotionresolutionsapplication
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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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