An analogue of McKenzie's theorem for topology lattices of finite algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 109-117
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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).
@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},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {2005},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a6/ LA - ru ID - FPM_2005_11_3_a6 ER -
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/