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
β¦ LIBER β¦
Cohen-Macaulay simplicial complexes
β Scribed by Mary L Thompson
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 245 KB
- Volume
- 114
- Category
- Article
- ISSN
- 0021-8693
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A combinatorial characterization of the 1-skeletons of the CohenαMacaulay complexes of dimension 2 over Z will be given. We also give an example of a graph that cannot be the 1-skeleton of any shellable complex of dimension 2 and an example of a graph that can only be the 1-skeleton of a CohenαMacau