Fundamentals of the theory of varieties of nilpotent MR-groups

Authors: Amaglobeli M.G.¹, Remeslennikov V.N.²^,3
Affiliations:
1. I. Javakhishvili Tbilisi State University
2. Sobolev Institute of Mathematics
3. Omsk Technical University
Issue: Vol 57, No 6 (2016)
Pages: 935-942
Section: Article
URL: https://journals.rcsi.science/0037-4466/article/view/170814
DOI: https://doi.org/10.1134/S003744661606001X
ID: 170814

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We expose fundamentals of the theory of varieties of nilpotent MR-groups and compare various definitions of nilpotency in this category.

Lyndon R-group, Hall R-group, MR-group, variety of MR-groups, α-commutator, tensor completion, nilpotent MR-group

I. Javakhishvili Tbilisi State University

Author for correspondence.
Email: mikheil.amaglobeli@tsu.ge
Georgia, Tbilisi

Sobolev Institute of Mathematics; Omsk Technical University

Email: mikheil.amaglobeli@tsu.ge
Russian Federation, Novosibirsk; Omsk