On the Hilbert function of certain rings of monomial curves

DOI10.1016/0022-4049(94)00058-QzbMath0838.13015OpenAlexW2034359990MaRDI QIDQ1899156

Silvia Molinelli, Grazia Tamone

Publication date: 9 June 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00058-q

zbMATH Keywords

Hilbert functionCohen-Macaulay typemonomial affine curve

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (17)

Bases and Ideal Generators for Projective Monomial Curves ⋮ On the \(H\)-polynomial of certain monomial curves ⋮ 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 semigroup rings with decreasing Hilbert function ⋮ 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 ⋮ Hilbert functions of monomial curves ⋮ The maximal denumerant of a numerical semigroup. ⋮ Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences ⋮ Noether resolutions in dimension 2 ⋮ CM defect and Hilbert functions of monomial curves ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K) ⋮ On Cohen-Macaulay subsemigroups of N² ⋮ On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴

Cites Work

• On monomial curves and Cohen-Macaulay type
• Generators and relations of abelian semigroups and semigroup rings
• Unnamed Item

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