Characterizing affine \(\mathcal{C}\)-semigroups

DOI10.1007/s11587-022-00693-6OpenAlexW2954999489MaRDI QIDQ2147974

Daniel Marín Aragon, Alberto Vigneron-Tenorio, J. D. Díaz-Ramírez, Juan Ignacio García García

Publication date: 21 June 2022

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03276

zbMATH Keywords

embedding dimensionaffine semigroupirreducible semigroupgeneralized numerical semigroup\(\mathcal{C}\)-semigroupgap of a semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (2)

Affine semigroups of maximal projective dimension ⋮ Some properties of affine \({\mathcal{C}}\)-semigroups

Uses Software

• Normaliz
• Python
• GitHub
• PropModSemig.m
• CommutativeMonoids

Cites Work

• Algorithms and basic asymptotics for generalized numerical semigroups in \(\mathbb N^d\)
• Affine convex body semigroups.
• The power of pyramid decomposition in Normaliz
• Numerical semigroups.
• An extension of Wilf's conjecture to affine semigroups
• A geometrical characterization of proportionally modular affine semigroups
• On pseudo-Frobenius elements of submonoids of \(\mathbb{N}^d\)
• Irreducible generalized numerical semigroups and uniqueness of the Frobenius element
• A characterization of some families of Cohen-Macaulay, Gorenstein and/or Buchsbaum rings
• Polytopes, Rings, and K-Theory
• On the generators of a generalized numerical semigroup

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