Canonical ideals of Cohen-Macaulay partially ordered sets
DOI10.1017/S0027763000001112zbMath0627.13001MaRDI QIDQ3030915
Publication date: 1988
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
finite distributive latticealgebra with straightening lawscanonical ideals of Cohen-Macaulay posetsnoetherian graded integral domain
Partial orders, general (06A06) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Structure and representation theory of distributive lattices (06D05) Lattice ideals, congruence relations (06B10) Ideals and multiplicative ideal theory in commutative rings (13A15) Graded rings and modules (associative rings and algebras) (16W50) Other special types of modules and ideals in commutative rings (13C13)
Related Items
Cites Work
- Linear Diophantine equations and local cohomology
- Classification of integral trees
- Level rings and algebras with straightening laws
- The number of faces of a simplicial convex polytope
- Cohen-Macaulay ordered sets
- Combinatorial methods in the theory of Cohen-Macaulay rings
- Finite lattices and Jordan-Hölder sets
- Magic labelings of graphs, symmetric magic squares, systems of parameters, and Cohen-Macaulay rings
- Cohen-Macaulay quotients of polynomial rings
- On graded rings. I
- Hilbert functions of graded algebras
- Linear homogeneous Diophantine equations and magic labelings of graphs
- For Which Finite Groups G is the Lattice ℒ(G) of Subgroups Gorenstein?
- Union and glueing of a family of Cohen-Macaulay partially ordered sets
- The Upper Bound Conjecture and Cohen-Macaulay Rings
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
- Ideals in Partially Ordered Sets
- Combinatorial reciprocity theorems