Some Families of Componentwise Linear Monomial Ideals

DOI10.1017/S0027763000025873zbMath1140.13012arXivmath/0508589OpenAlexW1845436979MaRDI QIDQ5440813

Adam Van Tuyl, Christopher A. Francisco

Publication date: 5 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508589

zbMATH Keywords

monomial idealsresolutions

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Betti splitting via componentwise linear ideals ⋮ Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ Stanley-Reisner Rings ⋮ On certain equidimensional polymatroidal ideals ⋮ Notes on the linearity defect and applications ⋮ Sequentially cohen-macaulay matroidal ideals ⋮ Weakly polymatroidal ideals with applications to vertex cover ideals ⋮ Monomial ideals with primary components given by powers of monomial prime ideals ⋮ Whiskers and sequentially Cohen-Macaulay graphs ⋮ Sequentially Cohen-Macaulay edge ideals

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Unnamed Item
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