New classes of infinite image partition regular matrices near zero

DOI10.1016/j.topol.2023.108435OpenAlexW2888043197MaRDI QIDQ2683774

Rajib Sarkar, Sourav Kanti Patra, Ram Chandra Manna

Publication date: 15 February 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.08162

zbMATH Keywords

central sets near zeroimage partition regular matrices near zeroMilliken-Taylor matrix

Mathematics Subject Classification ID

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

Cites Work

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• Combined algebraic properties of IP\(^\star\) and central\(^\star\) sets near 0
• Algebra in the Stone-Čech compactification. Theory and applications
• Matrices centrally image partition regular near 0
• Image partition regularity near zero
• The semigroup of ultrafilters near 0
• Infinite partition regular matrices: solutions in central sets
• Concerning partition regular matrices
• Image partition regular matrices---bounded solutions and preservation of largeness

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