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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 278–292
(Mi timm770)
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On finite critical lattices. II
O. E. Perminova Ural Federal 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 lattices for $n=7$ and $n\geq9$.
Keywords:
lattice, sublattice, endomorphism, critical lattice.
Citation:
O. E. Perminova, “On finite critical lattices. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 278–292
Linking options:
https://www.mathnet.ru/eng/timm770 https://www.mathnet.ru/eng/timm/v17/i4/p278
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Abstract page: | 319 | Full-text PDF : | 97 | References: | 53 |
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