Classes of Sequentially Cohen-Macaulay Squarefree Monomial Ideals

DOI10.1142/S1005386714000522zbMath1307.13027arXiv1103.1996OpenAlexW2962942023MaRDI QIDQ2928441

Oana Olteanu

Publication date: 7 November 2014

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

Full work available at URL: https://arxiv.org/abs/1103.1996

zbMATH Keywords

primary decompositionsquarefree lexsegment idealssequentially Cohen-Macaulay ideals

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

Algebraic properties of classes of path ideals of posets ⋮ Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes

Cites Work

• Gotzmann ideals of the polynomial ring
• Squarefree lexsegment ideals
• Quotient algebras of Stanley-Reisner rings and local cohomology
• Componentwise linear ideals