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Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 6, Pages 1197–1207
DOI: https://doi.org/10.17377/smzh.2016.57.601 (Mi smj2817) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Fundamentals of the theory of varieties of nilpotent $\mathrm{MR}$-groups

M. G. Amaglobelia, V. N. Remeslennikovbc

a I. Javakhishvili Tbilisi State University, Tbilisi, Georgia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c Omsk Technical University, Omsk, Russia
Full-text PDF (319 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2016.57.601
Abstract: We expose fundamentals of the theory of varieties of nilpotent $\mathrm{MR}$-groups and compare various definitions of nilpotency in this category.
Keywords: Lyndon $\mathrm R$-group, Hall $\mathrm R$-group, $\mathrm{MR}$-group, variety of $\mathrm{MR}$-groups, $\alpha$-commutator, tensor completion, nilpotent $\mathrm{MR}$-group.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00068
Russian Science Foundation 14-11-00085
The results of § 3 and § 4 were supported by the Russian Foundation for Basic Research (Grant 14-01-00068). The other results were supported by the Russian Science Foundation (Grant 14-11-00085).
Received: 05.04.2016
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 6, Pages 935–942
DOI: https://doi.org/10.1134/S003744661606001X
Bibliographic databases:
Document Type: Article
UDC: 512.544.33
Language: Russian
Citation: M. G. Amaglobeli, V. N. Remeslennikov, “Fundamentals of the theory of varieties of nilpotent $\mathrm{MR}$-groups”, Sibirsk. Mat. Zh., 57:6 (2016), 1197–1207; Siberian Math. J., 57:6 (2016), 935–942
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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