Characterizations of Buchsbaum complexes
From MaRDI portal
Publication:1119700
DOI10.1007/BF01168875zbMath0671.13014OpenAlexW2087943123MaRDI QIDQ1119700
Publication date: 1989
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155380
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Simplicial sets and complexes in algebraic topology (55U10)
Related Items
Stanley-Reisner rings of simplicial complexes with a free action by an abelian group, Buchsbaum and Eulerian complexes, Algebraic properties of ideals of poset homomorphisms, Ext and local cohomology modules of face rings of simplicial posets, Almost Buchsbaumness of some rings arising from complexes with isolated singularities, On the discrete counterparts of algebras with straightening laws, A characterization of two-dimensional Buchsbaum matching complexes, Simplicial join via tensor product, Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules, Relative Stanley-Reisner theory and upper bound theorems for Minkowski sums, Buchsbaumness of ordinary powers of two-dimensional square-free monomial ideals, The Edge Ideals of Complete Multipartite Hypergraphs
Cites Work
- Unnamed Item
- Topological results in combinatorics
- On the number of faces of simplicial complexes and the purity of Frobenius
- Cohen-Macaulay quotients of polynomial rings
- On graded rings. II: \(\mathbb{Z}\)-graded rings
- Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
- Toward a Theory of Buchsbaum Singularities
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- Combinatorics and commutative algebra