Formularity of sets of Mal'tsev bases, and elementary theories of finite- dimensional algebras. II

DOI10.1007/BF00968739zbMath0531.20018OpenAlexW2085800982MaRDI QIDQ788112

Vladimir N. Remeslennikov, Alexei G. Myasnikov

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968739

zbMATH Keywords

finite-dimensional k- algebrask-groupstensor completion of nilpotent groups

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Nilpotent groups (20F18) Derived series, central series, and generalizations for groups (20F14)

Related Items (6)

The tensor completion functor in categories of exponential \textit{MR}-groups ⋮ On nilpotent power \textit{MR}-groups ⋮ Groups elementarily equivalent to a free 2-nilpotent group of finite rank. ⋮ Free products in the category of \(A\)-groups over a ring \(A\). ⋮ Groups elementarily equivalent to a free nilpotent group of finite rank ⋮ GROUPS OF AUTOMORPHISMS OF CHEVALLEY ALGEBRAS

Cites Work

• Formularity of sets of Mal'tsev bases, and elementary theories of finite algebras. I
• Elementary properties of Abelian groups

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