Artin level modules

DOI10.1006/jabr.1999.8185zbMath0998.13001OpenAlexW1996837209MaRDI QIDQ1975912

Mats Boij

Publication date: 16 September 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8185

zbMATH Keywords

Hilbert functionslevel algebrasArtin level modulescompressed level moduleslevel modules

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) Graded rings (13A02)

Related Items (6)

A bound for the Waring rank of the determinant via syzygies ⋮ Artinian Level Algebras of Low Socle Degree ⋮ Artinian level modules and cancellable sequences ⋮ Artinian level modules of embedding dimension two ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ Exterior algebra methods for the minimal resolution conjecture.

Uses Software

• Macaulay2

Cites Work

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• The Cohen-Macaulay type of points in generic position
• Betti numbers of compressed level algebras
• The minimal resolution conjecture
• Compressed Algebras: Artin Algebras Having Given Socle Degrees and Maximal Length
• Compressed gorenstein modules: artin modules of type one having extremal Hilbert functions

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