M. G. Amaglobeli, V. N. Remeslennikov, “Fundamentals of the theory of varieties of nilpotent <nobr>$\mathrm{MR}$</nobr>-groups”, Sibirsk. Mat. Zh., 2016, Volume 57, Number 6,Pages <nobr>1197

This article is cited in 4 papers

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

M. G. Amaglobeli^a, V. N. Remeslennikov^bc

^a I. Javakhishvili Tbilisi State University, Tbilisi, Georgia
^b Sobolev Institute of Mathematics, Novosibirsk, Russia
^c Omsk Technical University, Omsk, Russia

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.

UDC: 512.544.33

Received: 05.04.2016

DOI: 10.17377/smzh.2016.57.601