Infinite partition regular matrices

DOI10.1007/BF01299740zbMath0831.05060OpenAlexW1967281660MaRDI QIDQ1900183

Imre Leader, Hanno Lefmann, Neil Hindman, Walter A. Deuber

Publication date: 12 February 1996

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01299740

zbMATH Keywords

infinite matricescell of a partitionpartition regular matrices

Mathematics Subject Classification ID

Ramsey theory (05D10) Matrices of integers (15B36)

Related Items (12)

Infinite partition regular matrices: solutions in central sets ⋮ Ramsey properties of nonlinear Diophantine equations ⋮ A Ramsey characterisation of eventually periodic words ⋮ Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching ⋮ Consistency for partition regular equations ⋮ Concerning partition regular matrices ⋮ Infinite image partition regular matrices -- solution in C-sets ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Image partition regularity near zero ⋮ Solvability of Rado systems in \(D\)-sets ⋮ Extensions of infinite partition regular systems

Cites Work

• Unnamed Item
• Partition regularity of \((M,P,C)\)-systems
• A combinatorially large cell of a partition of N
• Partitions and sums of \((m,p,c)\)-sets
• Ramsey's theorem with sums or unions
• A canonical partition relation for finite subsets of \(\omega\)
• Image Partition Regularity of Matrices

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