Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 317-323
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Yu. M. Vazhenin. The cardinalities of semigroups of isotonic transformations of reflexive graphs. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 317-323. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a15/
@article{MZM_1974_16_2_a15,
author = {Yu. M. Vazhenin},
title = {The cardinalities of semigroups of isotonic transformations of reflexive graphs},
journal = {Matemati\v{c}eskie zametki},
pages = {317--323},
year = {1974},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a15/}
}
TY - JOUR
AU - Yu. M. Vazhenin
TI - The cardinalities of semigroups of isotonic transformations of reflexive graphs
JO - Matematičeskie zametki
PY - 1974
SP - 317
EP - 323
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a15/
LA - ru
ID - MZM_1974_16_2_a15
ER -
%0 Journal Article
%A Yu. M. Vazhenin
%T The cardinalities of semigroups of isotonic transformations of reflexive graphs
%J Matematičeskie zametki
%D 1974
%P 317-323
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a15/
%G ru
%F MZM_1974_16_2_a15
We prove that the semigroup of all isotonic transformations of an infinite partially ordered set is nondenumerable. We construct an example of a reflexive graph, the semigroup of all isotonic transformations of which is denumerable.
