Geodesic
Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 62-64 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The following theorem is proved: the set of closed classes containing some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of closed classes in the three-valued logic that may be mapped homomorphically onto the two-valued logic is countable. 
@article{VMUMM_2017_1_a10,
     author = {A. V. Makarov and V. V. Makarov},
     title = {Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--64},
     year = {2017},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a10/}
}
TY  - JOUR
AU  - A. V. Makarov
AU  - V. V. Makarov
TI  - Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2017
SP  - 62
EP  - 64
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a10/
LA  - ru
ID  - VMUMM_2017_1_a10
ER  - 
%0 Journal Article
%A A. V. Makarov
%A V. V. Makarov
%T Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2017
%P 62-64
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a10/
%G ru
%F VMUMM_2017_1_a10
A. V. Makarov; V. V. Makarov. Countabliity of the set of closed overclasses of some minimal classes in the partly ordered set $\mathcal{L}^3_2$ of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 62-64. http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a10/

[1] Makarov A.V., “O gomomorfizmakh funktsionalnykh sistem mnogoznachnykh logik”, Matematicheskie voprosy kibernetiki, 4, Nauka, M., 1992, 5–29

[2] Makarov A.V., “Opisanie vsekh minimalnykh klassov v chastichno uporyadochennom mnozhestve ${\mathfrak{\cal L}}^{3}_{2}$ vsekh zamknutykh klassov trekhznachnoi logiki, kotorye mozhno gomomorfno otobrazit na dvuznachnuyu logiku”, Vestn. Mosk. un-ta. Matem. Mekhan., 2015, no. 1, 65–66 | Zbl

[3] Yablonskii S.V., “Funktsionalnye postroeniya v $k$-znachnoi logike”, Tr. Matem. in-ta AN SSSR, 51, 1958, 5–142

[4] Yablonskii S.V., Gavrilov G.P., Kudryavtsev V.B., Funktsii algebry logiki i klassy Posta, Nauka, M., 1966 | MR

[5] Zhuk D.N., “The cardinality of the set of all clones containing a given minimal clone on three elements”, Algebra Univers., 68 (2012), 295–320 | DOI | MR | Zbl