Variants of a lattice of partitions of a countable set
In this paper we consider the ordered by inclusion lattice Part(M) of all partitions of a countable set M. The lattice Part(M) is a semigroup with respect to the operation Λ which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of tw...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188370 |
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| Zitieren: | Variants of a lattice of partitions of a countable set / O.O. Desiateryk, O.G Ganyushkin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 8–18. — Бібліогр.: 10 назв. — англ. |
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Desiateryk, O.O. Ganyushkin, O.G. 2023-02-26T12:11:36Z 2023-02-26T12:11:36Z 2018 Variants of a lattice of partitions of a countable set / O.O. Desiateryk, O.G Ganyushkin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 8–18. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC: 20M10, 20M14, 06B3 https://nasplib.isofts.kiev.ua/handle/123456789/188370 In this paper we consider the ordered by inclusion lattice Part(M) of all partitions of a countable set M. The lattice Part(M) is a semigroup with respect to the operation Λ which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of two variants of the semigroup Part(M). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Variants of a lattice of partitions of a countable set Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Variants of a lattice of partitions of a countable set |
| spellingShingle |
Variants of a lattice of partitions of a countable set Desiateryk, O.O. Ganyushkin, O.G. |
| 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 |
| author |
Desiateryk, O.O. Ganyushkin, O.G. |
| author_facet |
Desiateryk, O.O. Ganyushkin, O.G. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper we consider the ordered by inclusion lattice Part(M) of all partitions of a countable set M. The lattice Part(M) is a semigroup with respect to the operation Λ which maps two partitions to their greatest lower bound. We obtain necessary and sufficiency conditions for isomorphism of two variants of the semigroup Part(M).
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188370 |
| citation_txt |
Variants of a lattice of partitions of a countable set / O.O. Desiateryk, O.G Ganyushkin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 8–18. — Бібліогр.: 10 назв. — англ. |
| work_keys_str_mv |
AT desiaterykoo variantsofalatticeofpartitionsofacountableset AT ganyushkinog variantsofalatticeofpartitionsofacountableset |
| first_indexed |
2025-12-07T13:14:14Z |
| last_indexed |
2025-12-07T13:14:14Z |
| _version_ |
1850855396316545025 |