Universal geometrical equivalence of the algebraic structures of common signature

DOI10.1134/S003744661705007XzbMath1380.08001OpenAlexW2766048408MaRDI QIDQ1694706

E. Yu. Daniyarova, Vladimir N. Remeslennikov, Alexei G. Myasnikov

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1134/s003744661705007x

zbMATH Keywords

algebraic structureuniversal algebraic geometryuniversal classuniversal equivalenceuniversal geometrical equivalence

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) Equational classes, universal algebra in model theory (03C05) Other classes of algebras (08C99) Foundations of algebraic geometry (14A99)

Related Items (3)

Algebraic geometry over algebraic structures. VIII: Geometric equivalences and special classes of algebraic structures ⋮ Algebraic geometry over algebraic structures X: Ordinal dimension ⋮ Algebraic geometry over algebraic structures. IX: Principal universal classes and dis-limits

Cites Work

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• Dimension in universal algebraic geometry.
• Algebraic geometry over algebraic structures. IV: Equational domains and codomains
• Commutative idempotent semigroups at the service of universal algebraic geometry.
• Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness
• Universal algebraic geometry
• Algebraic geometry over algebraic structures. V: The case of arbitrary signature
• Multi-sorted logic and logical geometry: some problems.
• Universal invariants for classes of abelian groups
• Algebraic geometry over algebraic structures. VI: Geometrical equivalence
• Algebraic geometry over groups. II: Logical foundations
• Algebraic geometry over algebraic structures. II: Foundations
• Radicals and Plotkin’s problem concerning geometrically equivalent groups
• Some logical invariants of algebras and logical relations between algebras
• Unification theorems in algebraic geometry
• A Note on the Implicational Class Generated by a Class of Structures
• GEOMETRIC EQUIVALENCE OF ALGEBRAS

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