Balanced Cohen-Macaulay Complexes
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Publication:4198769
DOI10.2307/1998915zbMath0411.05012OpenAlexW4254449038MaRDI QIDQ4198769
Publication date: 1979
Full work available at URL: https://doi.org/10.2307/1998915
Möbius functionCohen-Macaulay ringposetsimplicial complexHilbert functionf-vectorh-vectorPoincare series
Partial orders, general (06A06) General topology of complexes (57Q05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Enumerative combinatorics (05A99)
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Cites Work
- Topological results in combinatorics
- Finite lattices and Jordan-Hölder sets
- Cohen-Macaulay quotients of polynomial rings
- Hilbert functions of graded algebras
- More on the generalized Macaulay theorem
- Supersolvable lattices
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- Transitiv orientierbare Graphen
- A generalization of a combinatorial theorem of macaulay
- The maximum numbers of faces of a convex polytope
- Ordered structures and partitions
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- A Characterization of Comparability Graphs and of Interval Graphs
- Combinatorial reciprocity theorems
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