Betti numbers forp-stable ideals

DOI10.1080/00927870008826911zbMath0981.13007OpenAlexW2094472836MaRDI QIDQ4947096

Gerhard Pfister, Dorin Popescu, Viviana Ene

Publication date: 16 September 2001

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

Full work available at URL: https://doi.org/10.1080/00927870008826911

zbMATH Keywords

Koszul homologyCastelnuovo regularityBetti numbers\(p\)-Borel principal idealsPardue conjecturePoincaré series of acceptable \(p\)-stable ideals

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Ideals and multiplicative ideal theory in commutative rings (13A15) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (4)

Koszul homology and extremal properties of Gin and Lex ⋮ Zero-generic initial ideals ⋮ On the regularity of 𝑝-Borel ideals ⋮ Betti tables of \(p\)-Borel-fixed ideals

Cites Work

• Unnamed Item
• Koszul cycles and Eliahou-Kervaire type resolutions
• Characterizations of Regular Local Rings of Characteristic p

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