On the semigroup of monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915095340122112 |
|---|---|
| author | Gutik, Oleg Penza, Sher-Ali |
| author_facet | Gutik, Oleg Penza, Sher-Ali |
| contents | 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 $\mathscr{C}_{+}(a,b)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11802 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the semigroup of monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$ Gutik, Oleg Penza, Sher-Ali Group Theory 20M15, 20M20 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 $\mathscr{C}_{+}(a,b)$. |
| title | On the semigroup of monoid endomorphisms of the semigroup $\mathscr{C}_{+}(a,b)$ |
| topic | Group Theory 20M15, 20M20 |
| url | https://arxiv.org/abs/2408.11802 |