Authors: E A Bondar’ Yu V Zhuchok
Publish Date: 2013/11/26
Volume: 65, Issue: 6, Pages: 823-834
Abstract
We define a class of infinite undirected graphs and a class of infinite nregular 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 nregular hypergraphs
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