Nearly extremal Cohen–Macaulay and Gorenstein algebras

DOI10.1017/S0004972700039149zbMath1120.13023MaRDI QIDQ3442318

Pavinder Singh, Ashok Kumar, Chanchal Kumar

Publication date: 18 May 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriesfree resolutionBetti numbers

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (5)

Deficiently extremal Gorenstein algebras ⋮ Deficiently extremal Cohen-Macaulay algebras ⋮ Syzygies of Hibi rings ⋮ On the regularity of join-meet ideals of modular lattices ⋮ Gorenstein binomial edge ideals associated with scrolls

Cites Work

• The number of faces of a simplicial convex polytope
• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• Cohen-Macaulay local rings of maximal embedding dimension
• Resolutions of Stanley-Reisner rings and Alexander duality
• Bounds for Betti numbers
• On the bettinumbers of finite pure and linear resolutions
• A Note on the Multiplicity of Cohen-Macaulay Algebras with Pure Resolutions
• Componentwise linear ideals

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