Universal geometrical equivalence of the algebraic structures of common signature


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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.

作者简介

E. Daniyarova

Sobolev Institute of Mathematics, Omsk Branch

编辑信件的主要联系方式.
Email: evelina.omsk@list.ru
俄罗斯联邦, Omsk

A. Myasnikov

Stevens Institute of Technology

Email: evelina.omsk@list.ru
美国, Hoboken

V. Remeslennikov

Sobolev Institute of Mathematics, Omsk Branch

Email: evelina.omsk@list.ru
俄罗斯联邦, Omsk

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