Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs

• Date: 2013
• Main Authors: Bondar’, E. A., Бондарь, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2459
• Journal Title: 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...