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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 12, Pages 84–86 (Mi ivm9064)  
This article is cited in 6 scientific papers (total in 6 papers)

Lattices generated by modular elements

M. P. Shushpanov

Chair of Algebra and Discrete Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia
Full-text PDF (132 kB) Citations (6)
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Abstract: We prove that the lattice generated by three modular elements is modular. For every $n>3$ we construct a nonmodular lattice $L$ generated by $n$ elements each of which is modular in $L$.
Keywords: modular lattice, modular element.
Received: 11.06.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 12, Pages 73–75
DOI: https://doi.org/10.3103/S1066369X15120075
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: M. P. Shushpanov, “Lattices generated by modular elements”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 12, 84–86; Russian Math. (Iz. VUZ), 59:12 (2015), 73–75
Citation in format AMSBIB
\Bibitem{Shu15}
\by M.~P.~Shushpanov
\paper Lattices generated by modular elements
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 12
\pages 84--86
\mathnet{http://mi.mathnet.ru/ivm9064}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 12
\pages 73--75
\crossref{https://doi.org/10.3103/S1066369X15120075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84946406870}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :57
    References:26
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