Quotient algebras of Stanley-Reisner rings and local cohomology
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Publication:1175751
DOI10.1016/0021-8693(91)90159-6zbMath0761.55015OpenAlexW2075290890MaRDI QIDQ1175751
Publication date: 25 June 1992
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(91)90159-6
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Abstract complexes in algebraic topology (55U05)
Related Items (14)
Buchsbaum and Eulerian complexes ⋮ Free resolutions of simplicial posets ⋮ Classes of Sequentially Cohen-Macaulay Squarefree Monomial Ideals ⋮ Simplicial complexes with rigid depth ⋮ Almost Buchsbaumness of some rings arising from complexes with isolated singularities ⋮ On \(f\)- and \(h\)-vectors of relative simplicial complexes ⋮ Algebraic \(h\)-vectors of simplicial complexes through local cohomology. I ⋮ Seminormality and local cohomology of toric face rings ⋮ Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums ⋮ A construction of two-dimensional Buchsbaum simplicial complexes ⋮ Skeletons of monomial ideals ⋮ Rank selection and depth conditions for balanced simplicial complexes ⋮ Higher nerves of simplicial complexes ⋮ Iterated homology of simplical complexes
Cites Work
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- Topological results in combinatorics
- Cohen-Macaulay quotients of polynomial rings
- On the Cohen-Macaulay property in commutative algebra and simplicial topology
- Union and glueing of a family of Cohen-Macaulay partially ordered sets
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- Balanced Cohen-Macaulay Complexes
- Combinatorics and commutative algebra
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