Sums equal to products in \(\beta{\mathbb N}\)

DOI10.1007/BF02572552zbMath0448.22004OpenAlexW2072220888MaRDI QIDQ1146774

Neil Hindman

Publication date: 1980

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134450

zbMATH Keywords

idealsStone-Cech compactificationleft-continuous multiplication

Mathematics Subject Classification ID

Structure of topological semigroups (22A15)

Related Items (16)

Filters and the Weak Almost Periodic Compactification of a Discrete Semigroup ⋮ Some equivalents of the Erdős sum of reciprocals conjecture ⋮ Central sets in commutative semigroups and partition regularity of systems of linear equations ⋮ Subprincipal closed ideals in \(\beta N\) ⋮ Cancellation in the Stone–Čech compactification of a discrete semigroup ⋮ Filters and semigroup properties ⋮ On density, translates, and pairwise sums of integers ⋮ Minimal ideals and cancellation in beta(N) ⋮ \(\alpha\)-inflatable semigroups ⋮ Semigroup structures on \(\beta\mathbb{N}\) ⋮ Topological properties of some algebraically defined subsets of \(\beta \mathbb{N}\) ⋮ The smallest ideals of \(\beta\mathbb N\) under addition and multiplication ⋮ The minimal ideal of compact subsemigroups of \(\beta S\) ⋮ Extremal topologies on a semigroup ⋮ Ideals of the Stone-Čech compactification of semigroups ⋮ The minimal ideals of a multiplicative and additive subsemigroup of \(\beta\) \({\mathbb{N}}\)

Cites Work

• Unnamed Item
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• Representations of commutative semitopological semigroups
• Compact right topological semigroups and generalizations of almost periodicity
• The Čech-Stone compactification of a discrete groupoid
• Compact semitopological semigroups and weakly almost periodic functions
• Simultaneous Idempotents in βN \N and Finite Sums and Products in N
• The Stone-Čech compactification of a topological semigroup
• Ultrafilters: Some old and some new results
• The ideal structure of the Stone-Čech compactification of a group
• Partitions and Sums and Products of Integers
• The Continuity of Arens' Product on the Stone-Cech Compactification of Semigroups
• Idempotents of Compact Monothetic Semigroups
• On a Geometric Property of the Set of Invariant Means on a Group
• Rechtstopologische Halbgruppen.

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