The monoid of endomorphisms of disconnected hypergraphs

Yuriy V. Zhuchok


We prove that the monoid of endomorphisms of an arbitrary disconnected hypergraph is isomorphic to a wreath product of a transformation semigroup with a certain small category. For disconnected hypergraphs we also study the structure of the monoid of strong endomorphisms and the group of automorphisms.


monoid of endomorphisms, monoid of strong endomorphisms, group of automorphisms, hypergraph, wreath product

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