Ultrafilters on a discrete set with two binary operations

DOI10.1007/BF02574253zbMath0723.22003OpenAlexW2058261055MaRDI QIDQ757608

Amha Tume Lisan

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/135097

zbMATH Keywords

Stone-Čech compactificationcompact semigroupsyndeticminimal two-sided ideal

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Does \(N^*\) contain a topological and algebraic copy of \(\beta N\)?
• Ramsey's theorem for sums, products, and arithmetic progressions
• The ideal structure of the space of \(\kappa\)-uniform ultrafilters on a discrete semigroup
• Free groups in \(\beta\) N which miss the minimal ideal
• Partitions and sums of \((m,p,c)\)-sets
• Minimal ideals and cancellation in beta(N)
• Compact right topological semigroups and generalizations of almost periodicity

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