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arxiv: 1510.08402 · v1 · pith:Z5VN7TJAnew · submitted 2015-10-28 · 🧮 math.AC · math.AG· math.CO

Betti-linear Ideals

classification 🧮 math.AC math.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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