Algebraic geometry over algebraic structures. V. The case of arbitrary signature

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

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

A general theory of algebraic geometry over an arbitrary algebraic structure A in a language L with no predicates is consistently presented in a series of papers on universal algebraic geometry [5-8]. The restriction that we impose on the language is not crucial. This is done for the sake of readers who only get acquainted with universal algebraic geometry. Here we show how the entire material accumulated in works on universal geometry can be carried over without essential changes to the case of an arbitrary signature L.

Original languageEnglish
Pages (from-to)28-40
Number of pages13
JournalAlgebra and Logic
Volume51
Issue number1
DOIs
StatePublished - Mar 2012

Keywords

  • algebraic set
  • algebraic structure
  • coordinate algebra
  • universal algebraic geometry

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