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

Let \(\mathscr{C}_{+}(a,b)\) be the submonoid of the bicyclic monoid which is studied in [8]. 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}...

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Bibliographic Details
Main Authors: Gutik, Oleg, Penza, Sher-Ali
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2025
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333
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