Algebraic geometry over algebraic structures. II. Foundations
Copyright policy )Algebraic geometry over algebraic structures. II. Foundations
In this paper we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove Unification Theorems which gather the description of coordinate algebras by several ways.
55 pages
- Stevens Institute of Technology United States
- Russian Academy of Sciences Russian Federation
coordinate algebras of algebraic sets, Other classes of algebras, Foundations of algebraic geometry, unification, 03C99, 08A99, 14A99, Varieties, Model-theoretic algebra, Mathematics - Logic, algebraic structures, Mathematics - Algebraic Geometry, Equational classes, universal algebra in model theory, FOS: Mathematics, Logic (math.LO), Algebraic Geometry (math.AG), algebraic geometry
coordinate algebras of algebraic sets, Other classes of algebras, Foundations of algebraic geometry, unification, 03C99, 08A99, 14A99, Varieties, Model-theoretic algebra, Mathematics - Logic, algebraic structures, Mathematics - Algebraic Geometry, Equational classes, universal algebra in model theory, FOS: Mathematics, Logic (math.LO), Algebraic Geometry (math.AG), algebraic geometry
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