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arxiv: 1811.00798 · v1 · pith:KDOP5IMEnew · submitted 2018-11-02 · 🧮 math.AC

Kruskal-Katona Theorem for t-spread strongly stable ideals

classification 🧮 math.AC
keywords t-spreadstablestronglyidealidealskruskal-katonatheoremanalogue
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We prove that any t-spread strongly stable ideal has a unique t-spread lex ideal with the same f-vector. We also characterize the possible f-vectors of t-spread strongly stable ideals in the "t-spread" analogue of Kruskal-Katona theorem.

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