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...

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Datum:2018
Hauptverfasser: Desiateryk, Oleksandra, Ganyushkin, Olexandr
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics