Note on cyclic doppelsemigroups
A~doppelsemigroup \((G,\dashv,\vdash)\) is called cyclic if \((G,\dashv)\) is a~cyclic group. In the paper, we describe up to isomorphism all cyclic (strong) doppelsemigroups. We prove that up to isomorphism there exist \(\tau(n)\) finite cyclic (strong) doppelsemigroups of order \(n\), where \(\tau...
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| Дата: | 2023 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1991 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | A~doppelsemigroup \((G,\dashv,\vdash)\) is called cyclic if \((G,\dashv)\) is a~cyclic group. In the paper, we describe up to isomorphism all cyclic (strong) doppelsemigroups. We prove that up to isomorphism there exist \(\tau(n)\) finite cyclic (strong) doppelsemigroups of order \(n\), where \(\tau\) is the number of divisors function. Also there exist infinite countably many pairwise non-isomorphic infinite cyclic (strong) doppelsemigroups. |
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