Infinite partition regular matrices: solutions in central sets

DOI10.1090/S0002-9947-02-03191-4zbMath1006.05058OpenAlexW1802062717MaRDI QIDQ4787460

Neil Hindman, Imre Leader, Dona E. Strauss

Publication date: 7 January 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03191-4

Mathematics Subject Classification ID

Structure of topological semigroups (22A15) Ramsey theory (05D10) Topological fields, rings, etc. (topological aspects) (54H13)

Related Items (19)

Ramsey properties of nonlinear Diophantine equations ⋮ New classes of infinite image partition regular matrices near zero ⋮ Almost disjoint large subsets of semigroups ⋮ The relationships among many notions of largeness for subsets of a semigroup ⋮ Iterated hyper-extensions and an idempotent ultrafilter proof of Rado’s Theorem ⋮ Consistency for partition regular equations ⋮ A history of central sets ⋮ Concerning partition regular matrices ⋮ Infinite image partition regular matrices -- solution in C-sets ⋮ An infinitary extension of the Graham–Rothschild Parameter Sets Theorem ⋮ Image partition regular matrices and concepts of largeness ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Image partition regularity near zero ⋮ Solvability of Rado systems in \(D\)-sets ⋮ Strongly central sets and sets of polynomial returns mod 1 ⋮ Partition regularity without the columns property ⋮ Central sets generated by uniformly recurrent words ⋮ Extensions of infinite partition regular systems

Cites Work

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• Ramsey's theorem with sums or unions
• A canonical partition relation for finite subsets of \(\omega\)
• Algebra in the Stone-Čech compactification: theory and applications
• Studien zur Kombinatorik
• Infinite partition regular matrices
• Partitionen und lineare Gleichungssysteme
• Image Partition Regularity of Matrices
• Image partition regular matrices---bounded solutions and preservation of largeness

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