Classification of \(\mathscr{L}\)-cross-sections of the finite symmetric semigroup up to isomorphism

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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Date:2016
Main Author: Bondar, Eugenija
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
symmetric semigroup
cross-section
Green's relations
20M20
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling 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
baseUrl_str
datestamp_date 2016-05-11T05:57:59Z
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 2025-07-17T10:36:21Z
last_indexed 2025-07-17T10:36:21Z
_version_ 1837890097405493248

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