Ordered sets and their inf-endomorphisms
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 339-347
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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.
@article{MZM_1970_7_3_a11,
author = {Yu. M. Vazhenin},
title = {Ordered sets and their inf-endomorphisms},
journal = {Matemati\v{c}eskie zametki},
pages = {339--347},
publisher = {mathdoc},
volume = {7},
number = {3},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a11/}
}
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/