Automorphism groups of superextensions of finite monogenic semigroups

• Дата: 2019
• Автори: Banakh, Taras O., Gavrylkiv, Volodymyr M.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2019
• Теми: monogenic semigroup; maximal linked upfamily; superextension; automorphism group; 20D45; 20M15; 20B25
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1225
• Назва журналу: Algebra and Discrete Mathematics

A family \(\mathcal L\) of subsets  of a set \(X\) is called linked if \(A\cap B\ne\emptyset\) for any \(A,B\in\mathcal L\).  A linked family \(\mathcal M\) of subsets of \(X\) is maximal linked if \(\mathcal M\) coincides with each linked family \(\mathcal L\) on \(X\) that contains \(\mathcal M\)....