Geodesic
Endomorphism semigroups of 2-nilpotent binary relations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 6, pp. 75-83.

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We define two constructions of semigroups, which up to isomorphism describe the structure of all endomorphism semigroups of 2-nilpotent binary relations. 
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Yu. V. Zhuchok. Endomorphism semigroups of 2-nilpotent binary relations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 6, pp. 75-83. http://geodesic.mathdoc.fr/item/FPM_2008_14_6_a3/

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