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Face Numbers of Certain Cohen–Macaulay Flag Complexes

✍ Scribed by Browder, Jonathan


Book ID
118197917
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
185 KB
Volume
25
Category
Article
ISSN
0895-4801

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📜 SIMILAR VOLUMES


Cohen-Macaulay Types of Cohen-Macaulay C
✍ T. Hibi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 750 KB

We say that a Cohen-Macaulay poset (partially ordered set) is "superior" if every open interxal \((x, y)\) of \(P^{*}\) with \(\mu_{p}(x, y) \neq 0\) is doubly Cohen-Macaulay. For example, if \(L=P^{\wedge}\) is a modular lattice, then the Cohen-Macaulay poset \(P\) is superior. We present a formula