On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring

DOI10.1080/00927870802116521zbMath1180.13007OpenAlexW1995041085MaRDI QIDQ3638412

M. Mezzasalma, Vincenzo Micale, Marco D'Anna

Publication date: 2 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802116521

zbMATH Keywords

associated graded ringsemigroup ringBuchsbaum ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (6)

When the associated graded ring of a semigroup ring is complete intersection ⋮ On the associated graded ring of a semigroup ring ⋮ On the Hilbert function of the tangent cone of a monomial curve ⋮ On the Apéry sets of monomial curves ⋮ Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three ⋮ numericalsgps, a GAP package for numerical semigroups

Cites Work

• Noetherian local rings with Buchsbaum associated graded rings
• Associated graded rings of one-dimensional analytically irreducible rings
• Buchsbaum rings of maximal embedding dimension
• On the structure of the fiber cone of ideals with analytic spread one
• ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS
• Toward a Theory of Buchsbaum Singularities
• On the equations defining tangent cones
• Cohen-macaulayness of the associated graded of a semigroup rings
• Stable Ideals and Arf Rings

This page was built for publication: On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring