On the Depth of the Symmetric Algebra

DOI10.2307/2000380zbMath0604.13008OpenAlexW4233144402MaRDI QIDQ3741691

Jürgen Herzog, Maria Evelina Rossi, Giuseppe Valla

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000380

zbMATH Keywords

depthregular local ringsymmetric algebrastrong socle

Mathematics Subject Classification ID

Related Items (13)

Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves ⋮ On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves ⋮ Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ Minimal free resolution of a finitely generated module over a regular local ring ⋮ 4-generated pseudo symmetric monomial curves with not Cohen–Macaulay tangent cones ⋮ On the associated graded ring of semigroup algebras ⋮ Regularity and linearity defect of modules over local rings ⋮ Homogeneous numerical semigroups ⋮ BETTI NUMBERS FOR CERTAIN COHEN–MACAULAY TANGENT CONES ⋮ Unnamed Item ⋮ Consecutive cancellations in Betti numbers of local rings ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ The generators, relations and type of the Backelin semigroup

Cites Work

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• Linear free resolutions and minimal multiplicity
• The dimension and components of symmetric algebras
• Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe
• On the associated graded ring of a local Cohen-Macaulay ring
• On the bettinumbers of finite pure and linear resolutions
• On the equations defining tangent cones
• Form rings and regular sequences

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