On additive bases in infinite abelian semigroups

DOI10.4171/jca/67arXiv2002.03919OpenAlexW3004938577MaRDI QIDQ6166673

Thái Hoàng Lê, Pierre-Yves Bienvenu, Benjamin Girard

Publication date: 3 August 2023

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03919

zbMATH Keywords

invariant meanGrothendieck groupadditive combinatoricsadditive basisinfinite abelian grouptranslatable semigroupessential subset

Mathematics Subject Classification ID

Commutative semigroups (20M14) Additive bases, including sumsets (11B13) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Abelian groups (20K99) Arithmetic combinatorics; higher degree uniformity (11B30)

Cites Work

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• Additive bases in groups
• Über Basen der natürlichen Zahlenreihe
• Essentialness in additive bases
• Cofinite subsets of asymptotic bases for the positive integers
• On Erdős and Graham's \(X\) function.
• Small-sum pairs for upper Banach density in countable abelian groups
• Estimation fu nombre d'exceptions à ce qu'un ensemble de base privé d'un point reste un esemble de base
• The Postage Stamp Problem and Essential Subsets in Integer Bases
• On the Exact Order of Asymptotic Bases and Bases for Finite Cyclic Groups
• Sur le nombre d'éléments exceptionnels d'une base additive
• Essentialities in additive bases
• On the bases with an exact order
• The Exact Cardinality of the Set of Invariant Means on a Group
• On Bases for $\sigma$-Finite Groups.
• Grekos’ S function has a linear growth
• Twelve Landmarks of Twentieth-Century Analysis
• Kneser’s theorem in -finite abelian groups

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