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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 92–94
DOI: https://doi.org/10.26907/0021-3446-2019-5-92-94 (Mi ivm9467) 		 
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On finiteness of $3$-generated lattice with left modular and separating elements among generators

M. P. Shushpanov

Ural Federal University, 51 Lenina Ave., Ekaterinburg, 620000 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-5-92-94
Abstract: We prove that a $3$-generated lattice with modular and separating generators contains at most fourty seven elements. This estimate is stated to be sharp.
Keywords: lattice, left modular element, separating element, defining relation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Received: 24.10.2018
Revised: 24.10.2018
Accepted: 19.12.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 82–84
DOI: https://doi.org/10.3103/S1066369X19050098
Bibliographic databases:
Document Type: Article
UDC: 512.565
Language: Russian
Citation: M. P. Shushpanov, “On finiteness of $3$-generated lattice with left modular and separating elements among generators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 92–94; Russian Math. (Iz. VUZ), 63:5 (2019), 82–84
Citation in format AMSBIB
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\paper On finiteness of $3$-generated lattice with left modular and separating elements among generators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 5
\pages 92--94
\mathnet{http://mi.mathnet.ru/ivm9467}
\crossref{https://doi.org/10.26907/0021-3446-2019-5-92-94}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 5
\pages 82--84
\crossref{https://doi.org/10.3103/S1066369X19050098}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000479071100009}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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