TY - JOUR AU - E. A. Bondar’ PY - 2013/06/25 Y2 - 2024/03/29 TI - Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2459 AB - 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 the criterional conditions for the regularity of the semigroup of strong endomorphisms of infinite $n$-regular hypergraphs. ER -