Geodesic
Representations of the strong endomorphism monoid of finite $n$-uniform hypergraphs
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 21-34.

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In this paper, two exact representations of the strong endomorphism monoid of an arbitrary finite $n$-uniform hypergraph are described. It is proved that the strong endomorphism monoid of a finite $n$-uniform hypergraph is regular. We find all nonnegative integers $n$ such that $n$-uniform hypergraphs are determined by their strong endomorphisms. 
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E. A. Bondar; Yu. V. Zhuchok. Representations of the strong endomorphism monoid of finite $n$-uniform hypergraphs. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 1, pp. 21-34. http://geodesic.mathdoc.fr/item/FPM_2013_18_1_a1/

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