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Journal ArticleDOI

Semigroup structures on βN

Dona Strauss
- 01 Dec 1992 - 
- Vol. 44, Iss: 1, pp 238-244
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This article is published in Semigroup Forum.The article was published on 1992-12-01. It has received 18 citations till now. The article focuses on the topics: Cancellative semigroup & Bicyclic semigroup.

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Citations
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Journal ArticleDOI

Subsemigroups of Stone-Čech compactifications

TL;DR: Recently, Strauss as discussed by the authors showed that the image of any continuous homomorphism from βℕ into ℕ* must be finite, and so the homomorphisms cannot be injective.
Journal ArticleDOI

Cancellation in the Stone–Čech compactification of a discrete semigroup

TL;DR: In this paper, the authors investigated both left and right cancellation in the Stone-Cech compactification of a discrete semigroup S, obtaining several results for arbitrary semigroups S and others for more restricted semiigroups.
Journal ArticleDOI

Subsemigroups of βN

TL;DR: The Stone-Cech compactification β N of the additive semigroup (β N, +) has a natural and well-studied semigroup structure and structure as mentioned in this paper.
References
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Book ChapterDOI

Ultrafilters and combinatorial number theory

TL;DR: In this paper, a connection between combinatorial number theory and set-theoretic topology is made, where the existence of ultrafilters on ℕ which have specified properties is studied.