Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism
Let \(\mathscr{T}_n\) be the symmetric semigroup of full transformations on a finite set with \(n\) elements. In the paper we give a counting formula for the number of \(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) and classify all\(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) up to isomor...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2016
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543348811104256 |
|---|---|
| author | Bondar, Eugenija |
| author_facet | Bondar, Eugenija |
| author_sort | Bondar, Eugenija |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2016-05-11T05:57:59Z |
| description | Let \(\mathscr{T}_n\) be the symmetric semigroup of full transformations on a finite set with \(n\) elements. In the paper we give a counting formula for the number of \(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) and classify all\(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) up to isomorphism. |
| first_indexed | 2026-02-08T08:01:48Z |
| format | Article |
| id | admjournalluguniveduua-article-28 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T08:01:48Z |
| publishDate | 2016 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-282016-05-11T05:57:59Z Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism Bondar, Eugenija symmetric semigroup, cross-section, Green's relations 20M20 Let \(\mathscr{T}_n\) be the symmetric semigroup of full transformations on a finite set with \(n\) elements. In the paper we give a counting formula for the number of \(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) and classify all\(\mathscr{L}\)-cross-sections of \(\mathscr{T}_n\) up to isomorphism. Lugansk National Taras Shevchenko University The author acknowledges support from the Ministry of Education and Science of the Russian Federation, project no. 1.1999.2014/K, and the Competitiveness Program of Ural Federal University. 2016-05-10 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28 Algebra and Discrete Mathematics; Vol 21, No 1 (2016) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/28/44 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/28/46 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/28/47 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/28/48 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/28/49 Copyright (c) 2016 Algebra and Discrete Mathematics |
| spellingShingle | symmetric semigroup cross-section Green's relations 20M20 Bondar, Eugenija Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title | Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title_full | Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title_fullStr | Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title_full_unstemmed | Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title_short | Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| title_sort | classification of \(\mathscr{l}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| topic | symmetric semigroup cross-section Green's relations 20M20 |
| topic_facet | symmetric semigroup cross-section Green's relations 20M20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28 |
| work_keys_str_mv | AT bondareugenija classificationofmathscrlcrosssectionsofthefinitesymmetricsemigroupuptoisomorphism |