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Elements of order 2 in $\beta \mathbb{N}$

Volume 252 / 2021

Yevhen Zelenyuk Fundamenta Mathematicae 252 (2021), 355-359 MSC: Primary 22A15, 54D80; Secondary 22A30, 05D10. DOI: 10.4064/fm902-5-2020 Published online: 14 July 2020

Abstract

We construct distinct $p$ and $q$ in $\mathbb {N}^*=\beta \mathbb {N}\setminus \mathbb {N}$ such that $p+p=q=q+q=p+q=q+p$, which is the answer to a long standing open question.

Authors

  • Yevhen ZelenyukSchool of Mathematics
    University of the Witwatersrand
    Private Bag 3, Wits 2050
    Johannesburg, South Africa
    e-mail

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