Elementary equivalence and direct product decompositions of partially commutative groups of varieties

DOI10.1134/S0037446620030167zbMath1481.20003MaRDI QIDQ2191387

N. S. Romanovskii, E. I. Timoshenko

Publication date: 24 June 2020

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

zbMATH Keywords

nilpotent groupsolvable grouppartially commutative groupelementary theory

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Model-theoretic algebra (03C60) Quasivarieties and varieties of groups (20E10)

Related Items (3)

On the decomposition of partially commutative groups of varieties and their defining graphs ⋮ Partially commutative groups and Lie algebras ⋮ On partially commutative groups and the relevant algebras with commutation

Cites Work

• Partially commutative metabelian groups: centralizers and elementary equivalence.
• Elementary theory of free non-abelian groups.
• Graph algebras
• Diophantine geometry over groups. VI: The elementary theory of a free group.
• Cancellation and Elementary Equivalence of Finitely Generated Finite-By-Nilpotent Groups
• Isomorphisms of Graph Groups
• Elementary properties of Abelian groups
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