Semigroups of strong endomorphisms of infinite graphs and hypergraphs. (Q395412)

The authors study classes of infinite graphs and \(n\)-regular hypergraphs whose strong endomorphism monoids are wreath products of a transformation monoid with a small category. Moreover they characterize such \(n\)-regular hypergraphs whose strong endomorphism monoid is regular. The results are similar to the case of finite graphs, [see \textit{U. Knauer} and \textit{M. Nieporte}, Arch. Math. 52, No. 6, 607-614 (1989; Zbl 0683.05026)].