Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs

  • E. A. Bondar’

Abstract

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.
Published
25.06.2013
How to Cite
Bondar’, E. A. “Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 6, June 2013, pp. 743–754, https://umj.imath.kiev.ua/index.php/umj/article/view/2459.
Section
Research articles