Properties of lexsegment ideals

zbMath1198.13012arXiv0802.1279MaRDI QIDQ964012

Viviana Ene, Loredana Sorrenti, Anda-Georgina Olteanu

Publication date: 14 April 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1279

zbMATH Keywords

linear resolutionlinear quotientslexsegment idealdecomposition function

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14) Other special types of modules and ideals in commutative rings (13C13)

Related Items (4)

Powers of lexsegment ideals with linear resolution ⋮ Linear resolutions of t-spread lexsegment ideals via Betti splittings ⋮ Cellular resolutions from mapping cones ⋮ Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes

Uses Software

• CoCoA
• SINGULAR

Cites Work

• Unnamed Item
• Minimal resolutions of some monomial ideals
• Lexsegment ideals with linear resolution
• Resolutions by mapping cones
• Betti numbers of lex-segment ideals
• Resolutions obtained by iterated mapping cones
• Koszul cycles and Eliahou-Kervaire type resolutions
• Completely lexsegment ideals

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