Semigroup structures on \(\beta\mathbb{N}\)

DOI10.1007/BF02574343zbMath0746.22002OpenAlexW2018738319MaRDI QIDQ1185777

Dona E. Strauss

Publication date: 28 June 1992

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

Full work available at URL: https://eudml.org/doc/135147

zbMATH Keywords

free semigroupbinary operationStone-Čech compactificationcompact right topological semigroup

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Structure of topological semigroups (22A15)

Related Items

Subsemigroups of \(\beta\mathbb{N}\) ⋮ Ideals and commutativity in \(\beta\mathbb{N}\) ⋮ The topological centre of a compactification of a locally compact group ⋮ Nearly prime subsemigroups of \(\beta\mathbb{N}\) ⋮ Algebraic and topological equivalences in the Stone-Čech compactification of a discrete semigroup ⋮ Prime properties of the smallest ideal of \(\beta\mathbb{N}\) ⋮ Homomorphisms, ideals and commutativity in the Stone-Čech compactification of a discrete semigroup ⋮ Subsemigroups of Stone-Čech compactifications ⋮ Cancellation in the Stone–Čech compactification of a discrete semigroup ⋮ The scarcity of products in \(\beta S\) ⋮ On the two natural products in a Stone-Čech compactification

Cites Work

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• The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
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• Sums equal to products in \(\beta{\mathbb N}\)
• Minimal ideals and cancellation in beta(N)
• Simultaneous Idempotents in βN \N and Finite Sums and Products in N
• Semigroup Structure in Stone-čech Compactifications
• The Stone-Čech compactification of a topological semigroup