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

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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 
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/
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