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Sbornik: Mathematics, 1995, Volume 186, Issue 4, Pages 465–483
DOI: https://doi.org/10.1070/SM1995v186n04ABEH000027 (Mi sm27) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Almost distributive varieties of Lie rings

D. S. Ananichev

A. M. Gor'ky Urals State University, Department of Chemistry
English version PDF (690 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1995v186n04ABEH000027
Abstract: Two possible approaches to the description of varieties whose lattice of subvarieties is distributive are discussed, namely, descriptions based on maximal distributive and minimal non-distributive varieties. It is shown that there are no maximal distributive varieties for a wide class of generalized solvable Lie rings but that each non-distributive variety contains an almost distributive subvariety.
Received: 11.08.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 4, Pages 3–20
Bibliographic databases:
UDC: 512.8
MSC: 16W10, 17B01
Language: English
Original paper language: Russian
Citation: D. S. Ananichev, “Almost distributive varieties of Lie rings”, Mat. Sb., 186:4 (1995), 3–20; Sb. Math., 186:4 (1995), 465–483
Citation in format AMSBIB
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\by D.~S.~Ananichev
\paper Almost distributive varieties of Lie rings
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 4
\pages 3--20
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\zmath{https://zbmath.org/?q=an:0841.17006}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 4
\pages 465--483
\crossref{https://doi.org/10.1070/SM1995v186n04ABEH000027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RZ92200010}
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  • https://www.mathnet.ru/eng/sm/v186/i4/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:87
    English version PDF:17
    References:31
    First page:1
     
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