On the group of automorphisms of the semigroup \(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}}\) with the family \(\mathscr{F}\) of inductive nonempty subsets of \(\omega\)
We study automorphisms of the semigroup \(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}}\) with the family \(\mathscr{F}\) of inductive nonempty subsets of \(\omega\) and prove that the group \(\mathbf{Aut}(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}})\) of automorphisms of the semigroup \(\mathbf{B}_{\mathbb{Z}}^{...
Збережено в:
| Дата: | 2023 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2010 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозиторії
Algebra and Discrete Mathematics| Резюме: | We study automorphisms of the semigroup \(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}}\) with the family \(\mathscr{F}\) of inductive nonempty subsets of \(\omega\) and prove that the group \(\mathbf{Aut}(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}})\) of automorphisms of the semigroup \(\mathbf{B}_{\mathbb{Z}}^{\mathscr{F}}\) is isomorphic to the additive group of integers. |
|---|