Algebraic Geometry Over Algebraic Structures. VI. Geometrical Equivalence

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

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The present paper is one in our series of works on algebraic geometry over arbitrary algebraic structures, which focuses on the concept of geometrical equivalence. This concept signifies that for two geometrically equivalent algebraic structures A and ℬ of a language L, the classification problems for algebraic sets over A and ℬ are equivalent. We establish a connection between geometrical equivalence and quasiequational equivalence.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalAlgebra and Logic
Volume56
Issue number4
DOIs
StatePublished - 1 Sep 2017

Keywords

  • algebraic structure
  • geometrical equivalence
  • prevariety
  • quasivariety
  • universal algebraic geometry

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