Geodesic
The monoid of endomorphisms of disconnected hypergraphs
Algebra and discrete mathematics, Tome 16 (2013) no. 1, pp. 134-150

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: monoid of endomorphisms, monoid of strong endomorphisms, group of automorphisms, hypergraph, wreath product. 
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     author = {Yuriy V. Zhuchok},
     title = {The monoid of endomorphisms of disconnected hypergraphs},
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Yuriy V. Zhuchok. The monoid of endomorphisms of disconnected hypergraphs. Algebra and discrete mathematics, Tome 16 (2013) no. 1, pp. 134-150. http://geodesic.mathdoc.fr/item/ADM_2013_16_1_a14/