The number of minimal right ideals of $\beta G$
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- by Yevhen Zelenyuk PDF
- Proc. Amer. Math. Soc. 137 (2009), 2483-2488 Request permission
Abstract:
Let $G$ be an infinite Abelian group of cardinality $\kappa$ and let $\beta G$ denote the Stone-Čech compactification of $G$ as a discrete semigroup. We show that $\beta G$ contains $2^{2^\kappa }$ many minimal right ideals.References
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Additional Information
- Yevhen Zelenyuk
- Affiliation: School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, South Africa
- Email: yevhen.zelenyuk@wits.ac.za
- Received by editor(s): February 1, 2008
- Received by editor(s) in revised form: September 23, 2008
- Published electronically: February 25, 2009
- Additional Notes: The author was supported by NRF grant FA2007041200005 and The John Knopfmacher Centre for Applicable Analysis and Number Theory.
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2483-2488
- MSC (2000): Primary 22A15, 22C05; Secondary 22A30, 54H11
- DOI: https://doi.org/10.1090/S0002-9939-09-09791-3
- MathSciNet review: 2495285