Universal invariants for classes of abelian groups

DOI10.1007/s10469-017-9434-9zbMath1420.03080OpenAlexW2733434104MaRDI QIDQ1688177

Alexander V. Treier, Alexei A. Mishchenko, Vladimir N. Remeslennikov

Publication date: 5 January 2018

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

Full work available at URL: https://doi.org/10.1007/s10469-017-9434-9

zbMATH Keywords

invariantabelian groupuniversal equivalence

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Equational classes, universal algebra in model theory (03C05) Abelian groups (20K99) Algebraic geometry over groups; equations over groups (20F70)

Related Items (4)

On algebraic-geometric and universal theories of abelian groups ⋮ Universal geometrical equivalence of the algebraic structures of common signature ⋮ Algebraic geometry over algebraic structures. IX: Principal universal classes and dis-limits ⋮ Canonical and algebraically closed groups in universal classes of abelian groups

Cites Work

• Algebraic geometry over groups. II: Logical foundations
• Unification theorems in algebraic geometry
• Model Theory
• Elementary properties of Abelian groups
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