Author:
Amaglobeli Mikheil,Remeslennikov Vladimir
Abstract
AbstractIn this paper we investigate the basic algorithmic problems for class-2 nilpotent MR-groups. It is proved that, under an additional assumption of finite definiteness, all these problems have a positive solution and, in the general case, they have a negative solution for finitely generating groups.
Cited by
7 articles.
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1. On Nilpotent Power MR-Groups;Journal of Mathematical Sciences;2023-10
2. Varieties of Exponential R-Groups;Algebra and Logic;2023-05
3. О нильпотентных степенных $MR$-группах;Итоги науки и техники. Серия «Современная математика и ее приложения. Тематические обзоры»;2020-04
4. Varieties of Exponential MR-Groups;Doklady Mathematics;2020-01
5. Exponential MR-Groups: Faithful R-Completion;Doklady Mathematics;2019-05