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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 185–193
(Mi timm234)
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This article is cited in 3 scientific papers (total in 3 papers)
On finite critical lattices
O. E. Perminova Ural State University
Abstract:
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, sublattice, endomorphism, critical lattice.
Received: 12.02.2009
Citation:
O. E. Perminova, “On finite critical lattices”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 2, 2009, 185–193; Proc. Steklov Inst. Math. (Suppl.), 267, suppl. 1 (2009), S192–S200
Linking options:
https://www.mathnet.ru/eng/timm234 https://www.mathnet.ru/eng/timm/v15/i2/p185
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Abstract page: | 274 | Full-text PDF : | 65 | References: | 54 | First page: | 2 |
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