Universal geometrical equivalence of the algebraic structures of common signature
| Autor: | A. G. Myasnikov, V. N. Remeslennikov, E. Yu. Daniyarova |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebraic structure General Mathematics 010102 general mathematics Dimension of an algebraic variety Elementary equivalence Algebraic geometry 01 natural sciences 010101 applied mathematics Algebraic surface 0101 mathematics Algebraic number Equivalence (formal languages) Mathematics |
| Zdroj: | Siberian Mathematical Journal. 58:801-812 |
| ISSN: | 1573-9260 0037-4466 |
| Popis: | This article is a part of our effort to explain the foundations of algebraic geometry over arbitrary algebraic structures [1–8]. We introduce the concept of universal geometrical equivalence of two algebraic structures A and B of a common language L which strengthens the available concept of geometrical equivalence and expresses the maximal affinity between A and B from the viewpoint of their algebraic geometries. We establish a connection between universal geometrical equivalence and universal equivalence in the sense of equality of universal theories. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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