Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings

DOI10.1080/00927870903025993zbMath1203.13004arXiv0809.0476OpenAlexW3099130559MaRDI QIDQ3579890

Lance Bryant

Publication date: 11 August 2010

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

Full work available at URL: https://arxiv.org/abs/0809.0476

zbMATH Keywords

integral closureGorensteinnumerical semigroupquasi-socle idealAssociated graded ring

Mathematics Subject Classification ID

Commutative semigroups (20M14) Linkage, complete intersections and determinantal ideals (13C40) Semigroup rings, multiplicative semigroups of rings (20M25) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (22)

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Uses Software

• SINGULAR

Cites Work

• Quasi-socle ideals in local rings with Gorenstein tangent cones
• Associated graded rings of one-dimensional analytically irreducible rings
• Links of symbolic powers of prime ideals
• Quasi-socle ideals in Gorenstein numerical semigroup rings
• On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal
• Linkage and reduction numbers
• Links of prime ideals and their Rees algebras
• Quasi-socle ideals in a Gorenstein local ring
• The Goto numbers of parameter ideals
• The Gorenstein and complete intersection properties of associated graded rings
• Cohen-macaulayness of the associated graded of a semigroup rings
• Apery Sets of Numerical Semigroups^#
• On numerical semigroups

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