Increasing Chains of Ideals and Orbit Closures in βℤ

DOI10.2307/2159643zbMath0759.22005OpenAlexW4236364353MaRDI QIDQ3991957

Neil Hindman, Jan van Mill, Petr Simon

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159643

zbMATH Keywords

chains of idealstopological semigrouporbit closuresStone-Čech compactificationprincipal right idealgroup of integersprincipal closed two-sided ideal

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15) Ordered semigroups and monoids (06F05)

Related Items (3)

Algebraic structure of semigroup compactifications: Pym's and Veech's theorems and strongly prime points ⋮ Increasing sequences of principal left ideals of $\beta \mathbb{Z}$ are finite ⋮ In memoriam: Petr Simon (1944--2018)

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