One-dimensional Gorenstein local rings with decreasing Hilbert function

DOI10.1016/j.jalgebra.2017.05.038zbMath1443.13021arXiv1602.00334OpenAlexW2963171111MaRDI QIDQ1682035

Francesco Strazzanti, Anna Oneto, Grazia Tamone

Publication date: 28 November 2017

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

Full work available at URL: https://arxiv.org/abs/1602.00334

zbMATH Keywords

Gorenstein ringHilbert functionalmost Gorenstein ringnumerical semigroupalmost symmetric semigroupnumerical duplication

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (13)

Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves ⋮ On pseudo symmetric monomial curves ⋮ The numerical duplication of a numerical semigroup. ⋮ On semigroup rings with decreasing Hilbert function ⋮ When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring? ⋮ Patterns on the Numerical Duplication by Their Admissibility Degree ⋮ On the Hilbert Function of Four-Generated Numerical Semigroup Rings ⋮ Almost Symmetric Numerical Semigroups with Odd Generators ⋮ New algebraic properties of quadratic quotients of the Rees algebra ⋮ On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K) ⋮ On the monotonicity of Hilbert functions ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

Uses Software

• GAP
• numericalsgps

Cites Work

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• Minimal genus of a multiple and Frobenius number of a quotient of a numerical semigroup
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• Cohen-Macaulay Local Rings of Embedding Dimension e + d − 3
• On the Cohen–Macaulayness of tangent cones of monomial curves inA4(K)
• A Family of Quotients of the Rees Algebra

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