Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 617-620
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V. N. Salii. A compactly generated lattice with unique complements is distributive. Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 617-620. http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a15/
@article{MZM_1972_12_5_a15,
author = {V. N. Salii},
title = {A compactly generated lattice with unique complements is distributive},
journal = {Matemati\v{c}eskie zametki},
pages = {617--620},
year = {1972},
volume = {12},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a15/}
}
TY - JOUR
AU - V. N. Salii
TI - A compactly generated lattice with unique complements is distributive
JO - Matematičeskie zametki
PY - 1972
SP - 617
EP - 620
VL - 12
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a15/
LA - ru
ID - MZM_1972_12_5_a15
ER -
%0 Journal Article
%A V. N. Salii
%T A compactly generated lattice with unique complements is distributive
%J Matematičeskie zametki
%D 1972
%P 617-620
%V 12
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a15/
%G ru
%F MZM_1972_12_5_a15
It is known that in a lattice with unique complements, the modularity, atomicity, de Morgan, and other conditions imply that the lattice is distributive. It is proved that a compactly generated lattice with unique complements is also Boolean.
