Image partition regularity near zero

DOI10.1016/j.disc.2008.09.023zbMath1202.05146OpenAlexW2168100697MaRDI QIDQ1025944

Neil Hindman, Dibyendu De

Publication date: 23 June 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.09.023

zbMATH Keywords

Ramsey theorycentral sets theoremimage partition regular matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Ramsey theory (05D10)

Related Items (13)

ON SOFT ULTRAFILTERS ⋮ The hyperplanes of the \(U_{4}(3)\) near hexagon ⋮ Large sets near idempotent and its product ⋮ Central sets theorem near of an idempotent in wap-compactification ⋮ New classes of infinite image partition regular matrices near zero ⋮ Optimal polygonal representation of planar graphs ⋮ Combined algebraic properties of IP\(^\star\) and central\(^\star\) sets near 0 ⋮ Central sets theorem near zero ⋮ Central sets theorem near zero ⋮ The semigroup of ultrafilters near an idempotent of a semitopological semigroup ⋮ A history of central sets ⋮ Monochromatic sums equal to products near zero ⋮ Density near zero

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• Image Partition Regularity of Matrices
• Infinite partition regular matrices: solutions in central sets
• A new and stronger central sets theorem
• Note on Combinatorial Analysis
• Image partition regular matrices---bounded solutions and preservation of largeness

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