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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 10, Pages 69–72 (Mi ivm8839)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Defining relations of a free modular lattice of rank $3$

A. G. Gein, M. P. Shushpanov

Chair of Algebra and Discrete Mathematics, Ural Federal University, 19 Mira str., Ekaterinburg, 620002 Russia
Full-text PDF (142 kB) Citations (4)
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Abstract: For a $3$-generated free modular lattice we obtain a system of $11$ defining relations and prove this set to be minimal.
Keywords: free modular lattices, defining relations.
Presented by the member of Editorial Board: L. N. Shevrin
Received: 11.02.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 10, Pages 59–61
DOI: https://doi.org/10.3103/S1066369X13100071
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: A. G. Gein, M. P. Shushpanov, “Defining relations of a free modular lattice of rank $3$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 10, 69–72; Russian Math. (Iz. VUZ), 57:10 (2013), 59–61
Citation in format AMSBIB
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\by A.~G.~Gein, M.~P.~Shushpanov
\paper Defining relations of a~free modular lattice of rank~$3$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 10
\pages 69--72
\mathnet{http://mi.mathnet.ru/ivm8839}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 10
\pages 59--61
\crossref{https://doi.org/10.3103/S1066369X13100071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84885612092}
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    • This publication is cited in the following 4 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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