Multiplications in additive compactifications of \({\mathbb N}\) and \({\mathbb Z}\)

DOI10.1016/S0166-8641(02)00298-5zbMath1022.22002OpenAlexW2111781533WikidataQ114121910 ScholiaQ114121910MaRDI QIDQ1398197

Neil Hindman, Dona E. Strauss, John S. Pym

Publication date: 29 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(02)00298-5

zbMATH Keywords

almost periodicStone-Čech compactificationenveloping semigroupweakly almost periodicsemigroup compactificationmultiplication in additive semigroups

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15) Other topological algebraic systems and their representations (22A30)

Related Items (1)

Radicals in the class of compact right topological rings

Cites Work

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• Compact monothetic semigroups
• Endomorphic actions of \(\beta{} {\mathbb{N}{}}\) on the torus group
• Algebra in the Stone-Čech compactification: theory and applications
• Subsemigroups of \(\beta\mathbb{N}\)
• The set of idempotents in the weakly almost periodic compactification of the integers is not closed
• The structure of compact groups. A primer for the student -- a handbook for the expert
• A compact monothetic semitopological semigroup whose set of idempotents is not closed

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