Universal theories for free solvable groups.

DOI10.1007/s10469-012-9188-3zbMath1267.20052OpenAlexW2048068031MaRDI QIDQ1928481

N. S. Romanovskii

Publication date: 3 January 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-012-9188-3

zbMATH Keywords

decidable theoriesuniversal theoriesfree solvable groups

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Solvable groups, supersolvable groups (20F16) Model-theoretic algebra (03C60) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (5)

On the universal theories of generalized rigid metabelian groups ⋮ Algebraic geometry over algebraic structures. VI: Geometrical equivalence ⋮ Theories of relatively free solvable groups with extra predicate ⋮ Groups universally equivalent to the solvable Baumslag-Soliter group ⋮ Logical aspects of the theory of divisible rigid groups.

Cites Work

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• On the theories of free solvable groups
• Universal theory of certain solvable groups and bounded Ore group rings
• ∀-free metabelian groups

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