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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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2016
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
symmetric semigroup cross-section Green's relations 20M20 |
| 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 |
| topic_facet |
symmetric semigroup cross-section Green's relations 20M20 |
| format |
Article |
| author |
Bondar, Eugenija |
| author_facet |
Bondar, Eugenija |
| author_sort |
Bondar, Eugenija |
| title |
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_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_sort |
classification of \(\mathscr{l}\)-cross-sections of the finite symmetric semigroup up to isomorphism |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2016 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28 |
| work_keys_str_mv |
AT bondareugenija classificationofmathscrlcrosssectionsofthefinitesymmetricsemigroupuptoisomorphism |
| first_indexed |
2024-04-12T06:25:42Z |
| last_indexed |
2024-04-12T06:25:42Z |
| _version_ |
1796109208639242240 |