Hilbert function of local Artinian level rings in codimension two

DOI10.1016/j.jalgebra.2008.11.023zbMath1168.13013OpenAlexW1983326248MaRDI QIDQ1014612

Valentina Bertella

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.023

zbMATH Keywords

Hilbert functionsminimal number of generatorsgeneric initial idealslevel local artinian ringsmonomial standard bases

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Complete intersections (14M10) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Formal power series rings (13F25)

Related Items

Artinian level algebras of socle degree 4 ⋮ Minimal free resolution of a finitely generated module over a regular local ring ⋮ On the Hilbert function of one-dimensional local complete intersections ⋮ Resolutions in local algebra and singularity theory. Abstracts from the workshop held February 5--11, 2023 ⋮ On the Hilbert function of Artinian local complete intersections of codimension three ⋮ Artinian Level Algebras of Low Socle Degree ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ Canonical Hilbert-Burch matrices for power series ⋮ Consecutive cancellations in Betti numbers of local rings ⋮ The tangent cone of a local ring of codimension 2

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