Semigroups of Strong Endomorphisms of Infinite Graphs and Hypergraphs

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 t...

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Veröffentlicht in:	Ukrainian mathematical journal 2013-11, Vol.65 (6), p.823-834
Hauptverfasser:	Bondar’, E. A., Zhuchok, Yu. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Geometry Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
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