The partition problem for finite Abelian groups

DOI10.1016/0097-3165(80)90069-2zbMath0442.05003OpenAlexW2001964243MaRDI QIDQ1143394

Bernd Voigt

Publication date: 1980

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(80)90069-2

zbMATH Keywords

Ramsey theorypartition theory

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Projective and free modules and ideals in commutative rings (13C10) Finite abelian groups (20K01)

Related Items

Factor-complement partitions of ascending \(k\)-parameter words ⋮ Unary functions ⋮ Dual Ramsey properties for classes of algebras ⋮ Partition theorems for parameter systems and graphs ⋮ Abstract approach to finite Ramsey theory and a self-dual Ramsey theorem ⋮ Partitionseigenschaften endlicher affiner und projektiver Räume ⋮ Ramsey degrees of boron tree structures ⋮ On the number of monochromatic solutions of integer linear systems on Abelian groups ⋮ Ramsey varieties ⋮ On the number of monochromatic solutions of integer linear systems on abelian groups ⋮ Ramsey varieties of finite groups ⋮ Primitive Recursive Bounds for Van Der Waerden Numbers

Cites Work

• Ramsey's theorem for a class of categories
• Regularity and Positional Games
• Ramsey's Theorem for n-Parameter Sets
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