Increasing chains of ideals and orbit closures in $\beta \textbf {Z}$
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- by Neil Hindman, Jan van Mill and Petr Simon PDF
- Proc. Amer. Math. Soc. 114 (1992), 1167-1172 Request permission
Abstract:
Given any discrete semigroup $(S, + )$, there is an extension of the operation to $\beta S$ making $(\beta S, + )$ a left topological semigroup. The aim of this paper is, among other things, to prove that there exist strictly increasing chains of principle left ideals and of principal closed ideals in $(\beta \mathbb {Z}, + )$.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 1167-1172
- MSC: Primary 54D35
- DOI: https://doi.org/10.1090/S0002-9939-1992-1089407-5
- MathSciNet review: 1089407