Geodesic
Ordered sets and their inf-endomorphisms
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 339-347 
Yu. M. Vazhenin. Ordered sets and their inf-endomorphisms. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 339-347. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a11/
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     author = {Yu. M. Vazhenin},
     title = {Ordered sets and their inf-endomorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {339--347},
     year = {1970},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a11/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

From the semigroup of all transformations of an ordered set is selected the class of subsets such that the structure of each of them, as a partially ordered groupoid, comprehensively characterizes the degree of order of the given set, with the exception of the case when it consists of two elements.