Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 109-117
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A. V. Kartashova. An analogue of McKenzie's theorem for topology lattices of finite algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 109-117. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a6/
@article{FPM_2005_11_3_a6,
author = {A. V. Kartashova},
title = {An analogue of {McKenzie's} theorem for topology lattices of finite algebras},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {109--117},
year = {2005},
volume = {11},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a6/}
}
TY - JOUR
AU - A. V. Kartashova
TI - An analogue of McKenzie's theorem for topology lattices of finite algebras
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2005
SP - 109
EP - 117
VL - 11
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a6/
LA - ru
ID - FPM_2005_11_3_a6
ER -
%0 Journal Article
%A A. V. Kartashova
%T An analogue of McKenzie's theorem for topology lattices of finite algebras
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2005
%P 109-117
%V 11
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a6/
%G ru
%F FPM_2005_11_3_a6
In this paper, it is shown that the topology lattice of any finite algebra is isomorphic to the topology lattice of some finite algebra with four unary operations. Further, we present countably many unary algebras whose topology lattices are distributive and nonisomorphic to a topology lattice of any unar (a unar is an algebra with one unary operation).