The Apéry Set of a Good Semigroup

DOI10.1007/978-3-030-43416-8_4zbMath1440.14151arXiv1812.02064OpenAlexW3174266119MaRDI QIDQ5119692

Lorenzo Guerrieri, Marco D'Anna, Vincenzo Micale

Publication date: 1 September 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02064

zbMATH Keywords

symmetric semigroupsGorenstein ringsApéry setvalue semigroupsalgebroid curves

Mathematics Subject Classification ID

Commutative semigroups (20M14) Singularities of curves, local rings (14H20)

Related Items

Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\) ⋮ The tree of good semigroups in \(\mathbb{N}^2\) and a generalization of the Wilf conjecture ⋮ The type of a good semigroup and the almost symmetric condition ⋮ Partition of the complement of good semigroup ideals and Apéry sets

Cites Work

• Gorenstein curves and symmetry of the semigroup of values
• Duality on value semigroups
• The semigroup of values of a curve singularity with several branches
• Längenberechnung und kanonische Ideale in eindimensionalen Ringen
• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• The Apery algorithm for a plane singularity with two branches
• On the Apéry sets of monomial curves
• Analytically unramified one-dimensional semilocal rings and their value semigroups
• When the associated graded ring of a semigroup ring is complete intersection
• Goto Numbers of a Numerical Semigroup Ring and the Gorensteiness of Associated Graded Rings
• Semigroups associated to singular points of plane curves.
• The canonical module of a one-dimensional reduced local ring
• On Generators of the Semigroup of a Plane Curve Singularity
• The semigroup of values of a one-dimensional local ring with two minimal primes
• Good subsemigroups of ℕn

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