Algebraic geometry over algebraic structures. V: The case of arbitrary signature

DOI10.1007/S10469-012-9168-7zbMath1255.08001OpenAlexW1967654302MaRDI QIDQ694235

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

Publication date: 11 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10469-012-9168-7

zbMATH Keywords

algebraic setalgebraic structurecoordinate algebrauniversal algebraic geometry

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Equational classes, universal algebra in model theory (03C05) Algebraic structures (08A99)

Related Items (13)

Algebraic geometry over algebraic structures. VIII: Geometric equivalences and special classes of algebraic structures ⋮ Universal algebraic geometry with relation \(\neq\) ⋮ Algebraic sets of universal algebras and algebraic closure operator ⋮ On the utility of Robinson-Amitsur ultrafilters. III ⋮ Universal geometrical equivalence of the algebraic structures of common signature ⋮ Automorphic equivalence in the classical varieties of linear algebras ⋮ Algebraic geometry over algebraic structures. VI: Geometrical equivalence ⋮ Algebraic geometry over algebraic structures X: Ordinal dimension ⋮ Dimension in universal algebraic geometry. ⋮ Geometrical equivalence and action type geometrical equivalence of group representations ⋮ Isotypeness of models and knowledge bases equivalence ⋮ Algebraic geometry over algebraic structures. IX: Principal universal classes and dis-limits ⋮ Automorphic equivalence in the varieties of representations of Lie algebras

Cites Work

• Algebraic geometry over algebraic structures. IV: Equational domains and codomains
• Algebraic geometry over algebraic structures. III: Equationally Noetherian property and compactness
• Varieties of algebras and algebraic varieties
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Algebraic geometry over groups. II: Logical foundations
• Algebraic geometry over algebraic structures. II: Foundations
• Unification theorems in algebraic geometry
• Unnamed Item

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