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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188370 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862618663534723072 |
|---|---|
| author | Desiateryk, O.O. Ganyushkin, O.G. |
| author_facet | Desiateryk, O.O. Ganyushkin, O.G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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).
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| first_indexed | 2025-12-07T13:14:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188370 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:14:14Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Variants of a lattice of partitions of a countable set Desiateryk, O.O. Ganyushkin, O.G. |
| title | 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_short | Variants of a lattice of partitions of a countable set |
| title_sort | variants of a lattice of partitions of a countable set |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188370 |
| work_keys_str_mv | AT desiaterykoo variantsofalatticeofpartitionsofacountableset AT ganyushkinog variantsofalatticeofpartitionsofacountableset |