Algebraic geometry over algebraic structures. II. Foundations

E. Yu Daniyarova; A. G. Myasnikov; V. N. Remeslennikov

doi:10.1007/s10958-012-0923-z

Algebraic geometry over algebraic structures. II. Foundations

E. Yu Daniyarova
, A. G. Myasnikov
, V. N. Remeslennikov

Department of Mathematical Sciences

RAS - Sobolev Institute of Mathematics, Siberian Branch

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	389-416
Number of pages	28
Journal	Journal of Mathematical Sciences (United States)
Volume	185
Issue number	3
DOIs	https://doi.org/10.1007/s10958-012-0923-z
State	Published - Sep 2012

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

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Algebraic geometry over algebraic structures. II. Foundations

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