Variants of a lattice of partitions of a countable set
In this paper we consider the ordered by inclusion lattice \(\text{Part}(M)\) of all partitions of a countable set \(M\). The lattice \(\text{Part}(M)\) is a semigroup with respect to the operation \(\wedge\) which maps two partitions to their greatest lower bound. We obtain necessary and sufficienc...
Збережено в:
| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | In this paper we consider the ordered by inclusion lattice \(\text{Part}(M)\) of all partitions of a countable set \(M\). The lattice \(\text{Part}(M)\) is a semigroup with respect to the operation \(\wedge\) which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of two variants of the semigroup \(\text{Part}(M)\). |
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