Cohen-macaulayness of the associated graded of a semigroup rings

DOI10.1080/00927878208822724zbMath0495.20036OpenAlexW2027911153MaRDI QIDQ3958669

Arnaldo Garcia

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822724

zbMATH Keywords

semigroup ringsHilbert polynomialCohen-Macaulayassociated graded ring of local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (26)

On the \(H\)-polynomial of certain monomial curves ⋮ Extensions of tangent cones of monomial curves ⋮ ON THE TYPE OF THE ASSOCIATED GRADED RING OF CERTAIN MONOMIAL CURVES ⋮ Semigroup rings ⋮ When the associated graded ring of a semigroup ring is complete intersection ⋮ On the Cohen-Macaulay property for quadratic tangent cones ⋮ Minimal free resolution of the associated graded ring of monomial curves of generalized arithmetic sequences ⋮ Associated graded rings of one-dimensional analytically irreducible rings ⋮ On pseudo symmetric monomial curves ⋮ On the associated graded ring of a semigroup ring ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ On the Hilbert function of the tangent cone of a monomial curve ⋮ ON THE COHEN–MACAULAYNESS OF SOME GRADED RINGS ⋮ The maximal denumerant of a numerical semigroup. ⋮ On the Apéry sets of monomial curves ⋮ Homogeneous numerical semigroups ⋮ On monomial curves obtained by gluing ⋮ ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS ⋮ Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings ⋮ Gluing and Hilbert functions of monomial curves ⋮ On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring ⋮ On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K) ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ On Cohen-Macaulay subsemigroups of N² ⋮ Residual complex on the tangent cone of a numerical semigroup ring ⋮ Simplicial affine semigroups with monomial minimal reduction ideals

Cites Work

• Good embedding dimensions for Gorenstein singularities
• Generators and relations of abelian semigroups and semigroup rings
• Strict Local Rings

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