Direct products of cyclic semigroups and left zero semigroups in $\beta\mathbb{N}$

Document Type : Research Paper

Author

School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, South Africa.

10.48308/cgasa.2023.233625.1436

Abstract

We show that for every $n\in\mathbb{N}$, the direct product of the cyclic semigroup of order $n$ and period $1$ and the left zero semigroup $2^\mathfrak{c}$ has copies in $\beta\mathbb{N}$.

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References

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Categories and General Algebraic Structures with Applications
Volume 20, Issue 1
Special Issue Dedicated to Prof. Themba Dube
January 2024
Pages 221-232

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