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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 2, Pages 185–193 (Mi timm234)  
This article is cited in 3 scientific papers (total in 3 papers)

On finite critical lattices

O. E. Perminova

Ural State University
Full-text PDF (169 kB) Citations (3)
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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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 267, Issue 1, Pages S192–S200
DOI: https://doi.org/10.1134/S0081543809070177
Bibliographic databases:
Document Type: Article
UDC: 512.562
Language: Russian
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
Citation in format AMSBIB
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\by O.~E.~Perminova
\paper On finite critical lattices
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 2
\pages 185--193
\mathnet{http://mi.mathnet.ru/timm234}
\elib{https://elibrary.ru/item.asp?id=12878780}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 267
\issue , suppl. 1
\pages S192--S200
\crossref{https://doi.org/10.1134/S0081543809070177}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000274041900017}
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  • https://www.mathnet.ru/eng/timm234
  • https://www.mathnet.ru/eng/timm/v15/i2/p185
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    This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:55
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