Cohen-Macaulay connectivity and geometric lattices
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Publication:1835690
DOI10.1016/S0195-6698(82)80014-0zbMath0504.06005MaRDI QIDQ1835690
Publication date: 1982
Published in: European Journal of Combinatorics (Search for Journal in Brave)
simplicial complexposetsantichainorder complexBetti numberMoebius functionincidence algebrageometric latticesStanley Reisner ringbouquetorder homologyCohen-Macaulay connectedness
Partial orders, general (06A06) Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semilattices (06A12)
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Cites Work
- Cohen-Macaulay ordered sets
- Combinatorial decompositions of a class of rings
- Rings with lexicographic straightening law
- Some aspects of groups acting on finite posets
- Cohen-Macaulay quotients of polynomial rings
- Galois connections and the Leray spectral sequence
- Shellable and Cohen-Macaulay Partially Ordered Sets
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- Balanced Cohen-Macaulay Complexes
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