The computation of factorization invariants for affine semigroups

DOI10.1142/S0219498819500191zbMath1457.20045arXiv1504.02998OpenAlexW2964058298MaRDI QIDQ5376498

Gautam Webb, Christopher O'Neill, Pedro A. García Sánchez

Publication date: 10 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.02998

zbMATH Keywords

Gröbner basesdelta setsaffine semigroupcatenary degreeHilbert basestame degree

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Commutative semigroups (20M14) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Arithmetic theory of semigroups (20M13) Commutative rings defined by binomial ideals, toric rings, etc. (13F65)

Related Items (9)

Delta sets for symmetric numerical semigroups with embedding dimension three ⋮ Atoms of root-closed submonoids of \(\mathbb{Z}^2\) ⋮ Factorizations of the same length in abelian monoids ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups ⋮ On the arithmetic of stable domains ⋮ An improved algorithm to compute the \(\omega\)-primality ⋮ Factorization theory in commutative monoids ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences

Uses Software

• GAP
• Normaliz
• numericalsgps
• SageMath
• SINGULAR
• SCIP
• 4ti2
• singular
• 4ti2gap
• GitHub
• NormalizInterface

Cites Work

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• Ideals, Varieties, and Algorithms
• numericalsgps, a GAP package for numerical semigroups
• Irreducible ideals of finitely generated commutative monoids

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