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

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Zelenyuk Yuliya

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Journal Paper

Paper Information

Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:621 | Volume: | Issue: Page(s): 221-232

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Information Journal Paper

Title

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

Author(s)

Zelenyuk Yuliya | Issue Writer Certificate

Keywords

Stone-\v{C}ech compactificationQ4

idempotentQ4

right cancelable ultrafilterQ4

cyclic semigroupQ4

left zero semigroupQ4

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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