Universal geometrical equivalence of the algebraic structures of common signature

作者：Daniyarova E Yu^*; Myasnikov A G; Remeslennikov V N

来源：Siberian Mathematical Journal, 2017, 58(5): 801-812.

DOI：10.1134/S003744661705007X

• universal algebraic geometry
• algebraic structure
• universal geometrical equivalence
• universal equivalence
• universal class

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.

• 出版日期2017-9