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...

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Bibliographic Details
Date:2013
Main Authors: Bondar’, E. A., Бондарь, Е. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2459
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal