Ramsey Theory in Noncommutative Semigroups

DOI10.2307/2154173zbMath0757.05009OpenAlexW4233804117MaRDI QIDQ4000842

Neil Hindman, Vitaly Bergelson

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2154173

zbMATH Keywords

Hales-Jewett theoremRamsey theorynoncommutative semigroupsvan der Waerden's theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Structure of topological semigroups (22A15) Ramsey theory (05D10)

Related Items (7)

Points very close to the smallest ideal of \(\beta S\) ⋮ Central sets in commutative semigroups and partition regularity of systems of linear equations ⋮ Down the large rabbit hole ⋮ A generalized central sets theorem and applications ⋮ A history of central sets ⋮ A new and simpler noncommutative central sets theorem ⋮ Partition theorems for layered partial semigroups

Cites Work

• An algebraic proof of van der Waerden's theorem
• A dual form of Ramsey's theorem
• Topological dynamics and combinatorial number theory
• Studien zur Kombinatorik
• Ramsey's theorem for a class of categories
• Partitionen und lineare Gleichungssysteme
• Regularity and Positional Games
• Divisible Properties and the Stone-Čech Compactification
• Nonmetrizable Topological Dynamics and Ramsey Theory
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