Minimal ideals and cancellation in beta(N)

DOI10.1007/BF02573604zbMath0499.22002MaRDI QIDQ1171655

Neil Hindman

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/134579

zbMATH Keywords

ultrafiltercancellation lawminimal idealsStone-Cech-compactification

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15) Sequences and sets (11B99)

Related Items (20)

Points very close to the smallest ideal of \(\beta S\) ⋮ A combinatorially large cell of a partition of N ⋮ Some equivalents of the Erdős sum of reciprocals conjecture ⋮ Free groups in \(\beta\) N which miss the minimal ideal ⋮ Subprincipal closed ideals in \(\beta N\) ⋮ Right cancellation in \(\beta S\) and \(UG\) ⋮ Linear equations in B(ℤ)* ⋮ Cancellation in the Stone–Čech compactification of a discrete semigroup ⋮ The uniform compactification of a locally compact abelian group ⋮ On creating sets with large lower density ⋮ Semigroup structures on \(\beta\mathbb{N}\) ⋮ Banach algebras on semigroups and on their compactifications ⋮ The unsteady boundary layer on a rotating disk in a counter-rotating fluid. Part 2 ⋮ The scarcity of products in \(\beta S\) ⋮ The centre of the second dual of a commutative semigroup algebra ⋮ Ultrafilters on a discrete set with two binary operations ⋮ Ideals of the Stone-Čech compactification of semigroups ⋮ The minimal ideals of a multiplicative and additive subsemigroup of \(\beta\) \({\mathbb{N}}\) ⋮ Nonmetrizable Topological Dynamics and Ramsey Theory ⋮ Abelian semigroups whose Stone-Čech compactifications have left ideal decompositions

Cites Work

• Unnamed Item
• Partitions and sums of integers with repetition
• Sums equal to products in \(\beta{\mathbb N}\)
• Compact right topological semigroups and generalizations of almost periodicity
• The Čech-Stone compactification of a discrete groupoid
• Ultrafilters: Some old and some new results

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