The lexicographic sum of Cohen-Macaulay and shellable ordered sets
DOI10.1007/BF02582939zbMath0572.06001OpenAlexW2048642091MaRDI QIDQ1062080
Jerrold R. Griggs, Jeffrey A. Ross, Andrew R. Kustin, Juergen Stahl
Publication date: 1985
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02582939
Cohen-Macaulay ringorder complexantichainsshellabilitymaximal chainsCohen-Macaulay posetStanley Reisner ringCL-shellabilityCM-posetslexicographic sum
Partial orders, general (06A06) General topology of complexes (57Q05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Artificial intelligence (68T99) Enumerative combinatorics (05A99) Simplicial sets and complexes in algebraic topology (55U10) Chain complexes in algebraic topology (55U15) Polytopes and polyhedra (52Bxx)
Cites Work
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- A poset which is shellable but not lexicographically shellable
- A shellable poset that is not lexicographically shellable
- Cohen-Macaulay ordered sets
- Combinatorial methods in the theory of Cohen-Macaulay rings
- Combinatorial decompositions of a class of rings
- Rings with lexicographic straightening law
- Bruhat order of Coxeter groups and shellability
- Cohen-Macaulay quotients of polynomial rings
- On Lexicographically Shellable Posets
- Shellable and Cohen-Macaulay Partially Ordered Sets
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- The maximum numbers of faces of a convex polytope