Monomial Ideals of Forest Type

DOI10.1080/00927872.2011.585679zbMath1254.13025OpenAlexW2094983520MaRDI QIDQ3164940

Xinxian Zheng, Ali Jahan Soleyman

Publication date: 18 October 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.585679

zbMATH Keywords

shellabilityStanley decompositionpretty clean modules

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (3)

Rees algebras of square-free monomial ideals ⋮ On a class of squarefree monomial ideals of linear type ⋮ Pretty cleanness and filter-regular sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite filtrations of modules and shellable multicomplexes
• Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
• Ideals with linear quotients
• Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality
• Linear Diophantine equations and local cohomology
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Cohen-Macaulay properties of square-free monomial ideals
• Cohen-Macaulay graphs
• The facet ideal of a simplicial complex
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• Simplicial trees are sequentially Cohen-Macaulay
• Dirac's theorem on chordal graphs and Alexander duality
• Prime filtrations of monomial ideals and polarizations
• Stanley decompositions and partitionable simplicial complexes
• Resolutions of Facet Ideals
• Standard graded vertex cover algebras, cycles and leaves
• Shellable Nonpure Complexes and Posets. I
• Combinatorics and commutative algebra

This page was built for publication: Monomial Ideals of Forest Type