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

• Дата: 2016
• Автор: Bondar, Eugenija
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: symmetric semigroup; cross-section; Green's relations; 20M20
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/28
• Назва журналу: Algebra and Discrete Mathematics

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...