Betti numbers for numerical semigroup rings

DOI10.1007/978-3-319-90493-1_8zbMath1401.13001arXiv1801.00153OpenAlexW3102789635MaRDI QIDQ1627507

Dumitru Ioan Stamate

Publication date: 30 November 2018

Full work available at URL: https://arxiv.org/abs/1801.00153

zbMATH Keywords

free resolutionBetti numberstangent conesnumerical semigroup rings(almost) symmetric semigroupshifted families of semigroups

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02)

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Minimal Free Resolutions of the Tangent Cones of Gorenstein Monomial Curves ⋮ On the occurrence of complete intersections in shifted families of numerical semigroups ⋮ Coefficient rings of numerical semigroup algebras ⋮ Affine monomial curves ⋮ On the Betti numbers of the tangent cones for Gorenstein monomial curves ⋮ Betti sequence of the projective closure of affine monomial curves ⋮ Numerical semigroups with unique Apéry expansions ⋮ Numerical semigroups, polyhedra, and posets. III: Minimal presentations and face dimension ⋮ Type and conductor of simplicial affine semigroups ⋮ Canonical trace ideal and residue for numerical semigroup rings ⋮ BETTI NUMBERS FOR CERTAIN COHEN–MACAULAY TANGENT CONES ⋮ Nearly Gorenstein vs almost Gorenstein affine monomial curves ⋮ Betti numbers of Bresinsky’s curves in 𝔸4 ⋮ The generators, relations and type of the Backelin semigroup ⋮ Stable set rings which are Gorenstein on the punctured spectrum

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