Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic

DOI10.1007/s00233-021-10164-3OpenAlexW3127598926MaRDI QIDQ2663115

Yanyan Li

Publication date: 15 April 2021

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09136

zbMATH Keywords

polynomialsnumerical semigroupsBetti numbersaffine semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Arithmetic theory of semigroups (20M13)

Related Items (2)

A Plethora of Polynomials: A Toolbox for Counting Problems ⋮ On minimal presentations of shifted affine semigroups with few generators

Cites Work

• Unnamed Item
• The unreasonable ubiquitousness of quasi-polynomials
• Numerical semigroups.
• Semigroup rings and simplicial complexes
• Generators and relations of abelian semigroups and semigroup rings
• Shifts of generators and delta sets of numerical monoids
• On Prime Ideals with Generic Zero x i = t n i
• Algebraic Statistics
• Minimal presentations of shifted numerical monoids
• Parametric Presburger arithmetic: logic, combinatorics, and quasi-polynomial behavior
• The Geometry of Syzygies
• LIFTINGS OF A MONOMIAL CURVE
• Model Theory
• On parametrized families of numerical semigroups
• Betti numbers of Bresinsky’s curves in 𝔸4
• Numerical semigroups and applications

This page was built for publication: Periodic behavior in families of numerical and affine semigroups via parametric Presburger arithmetic