Canonical ideals of Cohen-Macaulay partially ordered sets

DOI10.1017/S0027763000001112zbMath0627.13001MaRDI QIDQ3030915

Takayuki Hibi

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite distributive latticealgebra with straightening lawscanonical ideals of Cohen-Macaulay posetsnoetherian graded integral domain

Mathematics Subject Classification ID

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

Level rings and algebras with straightening laws, The join-meet ideal of a finite lattice, Linear extensions and order polynomials of finite partially ordered sets, Regularity of join-meet ideals of distributive lattices, Hilbert functions of Cohen-Macaulay integral domains and chain conditions of finite partially ordered sets, Linear and nonlinear inequalities concerning a certain combinatorial sequence which arises from counting the number of chains of a finite distributive lattice, Divisor class groups of affine semigroup rings associated with distributive lattices, The trace of the canonical module, Flawless O-sequences and Hilbert functions of Cohen-Macaulay integral domains

Cites Work

• Linear Diophantine equations and local cohomology
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• On graded rings. I
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• The Upper Bound Conjecture and Cohen-Macaulay Rings
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• Ideals in Partially Ordered Sets
• Combinatorial reciprocity theorems