Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 161-170
Citer cet article
A. V. Makarov. On properties of maximal homomorphic prototypes of $k$-valued logic in $l$-valued logic. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 161-170. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a7/
@article{FPM_1996_2_1_a7,
author = {A. V. Makarov},
title = {On properties of maximal homomorphic prototypes of $k$-valued logic in $l$-valued logic},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {161--170},
year = {1996},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a7/}
}
TY - JOUR
AU - A. V. Makarov
TI - On properties of maximal homomorphic prototypes of $k$-valued logic in $l$-valued logic
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1996
SP - 161
EP - 170
VL - 2
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a7/
LA - ru
ID - FPM_1996_2_1_a7
ER -
%0 Journal Article
%A A. V. Makarov
%T On properties of maximal homomorphic prototypes of $k$-valued logic in $l$-valued logic
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1996
%P 161-170
%V 2
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a7/
%G ru
%F FPM_1996_2_1_a7
The properties of the set $\mathcal L_{k}^{l}$ of all closed subsets of $l$-valued logic $P_l$, which may be reflected homomorphically onto $P_k$ are investigated. We determined all maximal elements of $\mathcal L_{k}^{l}$ and proved that any maximal element is generated by a single function. The asymptotic formula for the number of in pairs nonisomorphic maximal elements of $\bigcup_{k=2}^l\mathcal L_{k}^{l}$ was obtained.
