Monomial modules and graded Betti numbers

DOI10.1134/S0001434609050095zbMath1173.13315MaRDI QIDQ1033982

Gaetana Restuccia, Marilena Crupi

Publication date: 10 November 2009

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

zbMATH Keywords

Gröbner basispolynomial ringsyzygy moduleminimal graded free resolutiongraded modulegraded ringgraded Betti number

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (2)

Extremal Betti numbers of graded modules ⋮ Squarefree Monomial Modules and Extremal Betti Numbers

Cites Work

• A criterion for detecting m-regularity
• Deformation classes of graded modules and maximal Betti numbers
• Minimal resolutions of some monomial ideals
• Ideals with stable Betti numbers
• Componentwise linear ideals
• Regularity functions for homogeneous algebras.
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