Abstract
The concepts of a variety of exponential MR-groups and tensor completions of groups in varieties are introduced. The relationships between free groups of a given variety under different rings of scalars are studied, and varieties of abelian MR-groups are described. Moreover, several analogues of n-class nilpotent groups are considered and compared in the category of MR-groups. It is shown that the completion of a 2‑class nilpotent MR-group is 2-class nilpotent.
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Translated by I. Ruzanova
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Amaglobeli, M.G. Varieties of Exponential MR-Groups. Dokl. Math. 101, 1–4 (2020). https://doi.org/10.1134/S106456242001010X
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DOI: https://doi.org/10.1134/S106456242001010X