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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Bibliographic Details
Date:2016
Main Author: Bondar, Eugenija
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
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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