Geodesic
On finite critical lattices
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 185-193

Voir la notice de l'article provenant de la source Math-Net.Ru

Critical lattices are considered, i.e., lattices without nontrivial endomorphisms and not containing nontrivial proper sublattices without nontrivial endomorphisms. It is proved that there exist $n$-element critical sublattices for any $n\ge21$.
Keywords: lattice, critical lattice.
Mots-clés : sublattice, endomorphism 
@article{TIMM_2009_15_2_a16,
     author = {O. E. Perminova},
     title = {On finite critical lattices},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {185--193},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a16/}
}
TY  - JOUR
AU  - O. E. Perminova
TI  - On finite critical lattices
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2009
SP  - 185
EP  - 193
VL  - 15
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a16/
LA  - ru
ID  - TIMM_2009_15_2_a16
ER  - 
%0 Journal Article
%A O. E. Perminova
%T On finite critical lattices
%J Trudy Instituta matematiki i mehaniki
%D 2009
%P 185-193
%V 15
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a16/
%G ru
%F TIMM_2009_15_2_a16
O. E. Perminova. On finite critical lattices. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 2, pp. 185-193. http://geodesic.mathdoc.fr/item/TIMM_2009_15_2_a16/