Partition of the complement of good semigroup ideals and Apéry sets

DOI10.1080/00927872.2021.1915325zbMath1490.20038arXiv2005.12354OpenAlexW3168088352MaRDI QIDQ5860645

Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

Publication date: 22 November 2021

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

Full work available at URL: https://arxiv.org/abs/2005.12354

zbMATH Keywords

Apéry setgood semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (1)

Properties and applications of the Apéry set of good semigroups in \(\mathbb{N}^d\)

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
• Gorenstein property and symmetry for one-dimensional local Cohen-Macaulay rings
• The Apery algorithm for a plane singularity with two branches
• Analytically unramified one-dimensional semilocal rings and their value semigroups
• 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
• Semigroups associated to singular points of plane curves.
• The canonical module of a one-dimensional reduced local ring
• Good subsemigroups of ℕn
• Embedding Dimension of a Good Semigroup
• The value semiring of an algebroid curve
• The Apéry Set of a Good Semigroup
• The Value-Semigroup of a One-Dimensional Gorenstein Ring

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