Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs

• Дата: 2013
• Автори: Bondar’, E. A., Бондарь, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2459
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We define a class of infinite undirected graphs and a class of infinite $n$-regular hypergraphs and prove that any semigroup of all strong endomorphisms of the graphs and hypergraphs from these classes is isomorphic to the wreath product of a transformation monoid and a small category. We establish...