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arXiv · 2408.11802

On the semigroup of monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$

Oleg Gutik·Sher-Ali Penza
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Abstract

Let $\mathscr{C}_{+}(a,b)$ be the submonoid of the bicyclic monoid which is studied in \cite{Makanjuola-Umar=1997}. We describe monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$ which are generated by the family of all congruences of the bicyclic monoid and all injective monoid endomorphisms of $\mathscr{C}_{+}(a,b)$.

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Oleg Gutik, Sher-Ali Penza. 2024-08-21. On the semigroup of monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$. https://doi.org/10.12958/adm2333

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