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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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-3732018-10-20T08:02:25Z Variants of a lattice of partitions of a countable set Desiateryk, Oleksandra Ganyushkin, Olexandr variant, sandwich-semigroup, lattice of partitions 20M10, 20M14, 06B35 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 \(\text{Part}(M)\). Lugansk National Taras Shevchenko University 2018-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373 Algebra and Discrete Mathematics; Vol 26, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/373/154 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-10-20T08:02:25Z |
| collection |
OJS |
| language |
English |
| topic |
variant sandwich-semigroup lattice of partitions 20M10 20M14 06B35 |
| spellingShingle |
variant sandwich-semigroup lattice of partitions 20M10 20M14 06B35 Desiateryk, Oleksandra Ganyushkin, Olexandr Variants of a lattice of partitions of a countable set |
| topic_facet |
variant sandwich-semigroup lattice of partitions 20M10 20M14 06B35 |
| format |
Article |
| author |
Desiateryk, Oleksandra Ganyushkin, Olexandr |
| author_facet |
Desiateryk, Oleksandra Ganyushkin, Olexandr |
| author_sort |
Desiateryk, Oleksandra |
| title |
Variants of a lattice of partitions of a countable set |
| title_short |
Variants of a lattice of partitions of a countable set |
| title_full |
Variants of a lattice of partitions of a countable set |
| title_fullStr |
Variants of a lattice of partitions of a countable set |
| title_full_unstemmed |
Variants of a lattice of partitions of a countable set |
| title_sort |
variants of a lattice of partitions of a countable set |
| description |
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 \(\text{Part}(M)\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/373 |
| work_keys_str_mv |
AT desiaterykoleksandra variantsofalatticeofpartitionsofacountableset AT ganyushkinolexandr variantsofalatticeofpartitionsofacountableset |
| first_indexed |
2025-12-02T15:35:57Z |
| last_indexed |
2025-12-02T15:35:57Z |
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1850411327557730304 |