Tangent cones of monomial curves obtained by numerical duplication

DOI10.1007/s13348-019-00241-wzbMath1495.13012arXiv1803.08302OpenAlexW2963319541MaRDI QIDQ2323316

Raheleh Jafari, Francesco Strazzanti, Marco D'Anna

Publication date: 30 August 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08302

zbMATH Keywords

Cohen-Macaulay ringsassociated graded ringnumerical semigroupsGorenstein ringsnumerical duplicationhomogeneous numerical semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semigroup rings, multiplicative semigroups of rings (20M25) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (1)

The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

Uses Software

• GAP
• Macaulay2
• numericalsgps

Cites Work

• The numerical duplication of a numerical semigroup.
• Families of Gorenstein and almost Gorenstein rings
• Extensions of toric varieties
• Homogeneous numerical semigroups
• Idealization of a module
• Associated graded rings of one-dimensional analytically irreducible rings
• A construction of Gorenstein rings
• Numerical semigroups.
• On the associated graded modules of canonical modules
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Längenberechnung und kanonische Ideale in eindimensionalen Ringen
• One-dimensional Gorenstein local rings with decreasing Hilbert function
• Residual complex on the tangent cone of a numerical semigroup ring
• When the associated graded ring of a semigroup ring is complete intersection
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• On the Depth of the Symmetric Algebra
• Cohen-macaulayness of the associated graded of a semigroup rings
• A Family of Quotients of the Rees Algebra
• Stable Ideals and Arf Rings

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