2025-02-22T17:02:30-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188370%22&qt=morelikethis&rows=5
2025-02-22T17:02:30-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-188370%22&qt=morelikethis&rows=5
2025-02-22T17:02:30-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T17:02:30-05:00 DEBUG: Deserialized SOLR response
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
|
| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188370 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
irk-123456789-188370 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1883702023-02-28T01:27:01Z Variants of a lattice of partitions of a countable set Desiateryk, O.O. Ganyushkin, O.G. 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). 2018 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188370 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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). |
| format |
Article |
| author |
Desiateryk, O.O. Ganyushkin, O.G. |
| spellingShingle |
Desiateryk, O.O. Ganyushkin, O.G. Variants of a lattice of partitions of a countable set Algebra and Discrete Mathematics |
| author_facet |
Desiateryk, O.O. Ganyushkin, O.G. |
| author_sort |
Desiateryk, O.O. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT desiaterykoo variantsofalatticeofpartitionsofacountableset AT ganyushkinog variantsofalatticeofpartitionsofacountableset |
| first_indexed |
2023-10-18T23:08:13Z |
| last_indexed |
2023-10-18T23:08:13Z |
| _version_ |
1796157342347165696 |