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Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 4, Pages 278–292 (Mi timm770)  

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.

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UDC: 512.562

Citation: O. E. Perminova, “On finite critical lattices. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 278–292

Citation in format AMSBIB
\Bibitem{Per11}
\by O.~E.~Perminova
\paper On finite critical lattices.~II
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 278--292
\mathnet{http://mi.mathnet.ru/timm770}
\elib{http://elibrary.ru/item.asp?id=17870443}


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