Tangent Cone of Numerical Semigroup Rings of Embedding Dimension Three

DOI10.1080/00927872.2010.482550zbMath1264.13007arXiv0808.2162OpenAlexW1985111653MaRDI QIDQ3090108

Yi-Huang Shen

Publication date: 26 August 2011

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

Full work available at URL: https://arxiv.org/abs/0808.2162

zbMATH Keywords

tangent coneCohen-Macaulaynessnumerical semigroup ringsBuchsbaumness

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (7)

When the associated graded ring of a semigroup ring is complete intersection ⋮ On pseudo symmetric monomial curves ⋮ The index of a numerical semigroup ring ⋮ On the associated graded ring of a semigroup ring ⋮ On the Apéry sets of monomial curves ⋮ Homogeneous numerical semigroups ⋮ LIFTINGS OF A MONOMIAL CURVE

Uses Software

• GAP
• Macaulay2
• SINGULAR

Cites Work

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• Numerical semigroups with embedding dimension three.
• Associated graded rings of one-dimensional analytically irreducible rings
• Frobenius problem for semigroups \(\mathbf S(d_1,d_2,d_3)\).
• Symmetric semigroups of integers generated by 4 elements
• Generators and relations of abelian semigroups and semigroup rings
• ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS
• Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings
• On the Buchsbaumness of the Associated Graded Ring of a One-Dimensional Local Ring
• When is a regular sequence super regular?
• On the equations defining tangent cones
• Form rings and regular sequences
• SINGULAR

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