This article is cited in 48 papers

Algebraic geometry over algebraic structures. II. Foundations

E. Yu. Daniyarova^a, A. G. Myasnikov^b, V. N. Remeslennikov<sup>a

a</sup> Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
^b Stevens Institute of Technology, USA

Abstract: In this paper, we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove so-called unification theorems which describe coordinate algebras of algebraic sets in several different ways.

UDC: 512.57+512.7

 English version: Journal of Mathematical Sciences (New York), 2012, 185:3, 389–416

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