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Title of Journal: Ukr Math J

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Abbravation: Ukrainian Mathematical Journal

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Springer US

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10.1016/0027-5107(96)00062-0

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1573-9376

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Semigroups of Strong Endomorphisms of Infinite Gra

Authors: E A Bondar’ Yu V Zhuchok
Publish Date: 2013/11/26
Volume: 65, Issue: 6, Pages: 823-834
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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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