Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 57-58
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A. V. Makarov; V. V. Makarov. Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set $\mathcal{L}^3_2$. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2019), pp. 57-58. http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a9/
@article{VMUMM_2019_4_a9,
author = {A. V. Makarov and V. V. Makarov},
title = {Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set $\mathcal{L}^3_2$},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {57--58},
year = {2019},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a9/}
}
TY - JOUR
AU - A. V. Makarov
AU - V. V. Makarov
TI - Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set $\mathcal{L}^3_2$
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2019
SP - 57
EP - 58
IS - 4
UR - http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a9/
LA - ru
ID - VMUMM_2019_4_a9
ER -
%0 Journal Article
%A A. V. Makarov
%A V. V. Makarov
%T Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set $\mathcal{L}^3_2$
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2019
%P 57-58
%N 4
%U http://geodesic.mathdoc.fr/item/VMUMM_2019_4_a9/
%G ru
%F VMUMM_2019_4_a9
It is proved that the set of closed classes containing some minimal classes in the partially ordered set $\mathcal{L}^3_2$ of closed classes in the three-valued logic that can be homomorphically mapped onto the two-valued logic has continuum cardinality.
[4] Bokov G. V., “Reshetka zamknutykh klassov trekhznachnoi logiki, soderzhaschikh funktsiyu maksimuma dlya nelineinogo chastichnogo poryadka”, Mat-ly XII Mezhdunar. seminara “Diskretnaya matematika i ee prilozheniya” imeni akademika O. B. Lupanova, Izd-vo TsPI pri mekh.-mat. f-te MGU, M., 2016, 187–190