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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| Дата: | 2025 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2025
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2333 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | 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 \(\mathscr{C}_{+}(a,b)\). |
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