Partitions and sums of \((m,p,c)\)-sets

DOI10.1016/0097-3165(87)90020-3zbMath0661.05008OpenAlexW2052293459MaRDI QIDQ1112823

Neil Hindman, Walter A. Deuber

Publication date: 1987

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(87)90020-3

zbMATH Keywords

partition-regular system of homogeneous linear equations

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17)

Related Items (20)

Finite sums of arithmetic progressions ⋮ A combinatorially large cell of a partition of N ⋮ Canonical partition relations for \((m,p,c)\)-systems ⋮ Infinite partition regular matrices ⋮ Subprincipal closed ideals in \(\beta N\) ⋮ Abstract colorings, games and ultrafilters ⋮ Unnamed Item ⋮ On partition regular systems of equations ⋮ Rado's theorem for rings and modules ⋮ New polynomial and multidimensional extensions of classical partition results ⋮ Partition regularity of \((M,P,C)\)-systems ⋮ Monochromatic solutions to systems of exponential equations ⋮ A history of central sets ⋮ Unnamed Item ⋮ Ultrafilters on a discrete set with two binary operations ⋮ Additive and multiplicative Ramsey theory in the reals and the rationals ⋮ Exponential patterns in arithmetic Ramsey theory ⋮ Extensions of infinite partition regular systems ⋮ Some new multi-cell Ramsey theoretic results ⋮ Rado's theorem for commutative rings

Cites Work

• Partitionen und lineare Gleichungssysteme
• Unnamed Item
• Unnamed Item

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