Algebraic geometry over algebraic structures. IV. Equational domains and codomains

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

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

We introduce and study equational domains and equational codomains. Informally, an equational domain is an algebra every finite union of algebraic sets over which is an algebraic set; an equational codomain is an algebra every proper finite union of algebraic sets over which is not an algebraic set.

Original languageEnglish
Pages (from-to)483-508
Number of pages26
JournalAlgebra and Logic
Volume49
Issue number6
DOIs
StatePublished - Jan 2011

Keywords

  • algebra
  • algebraic set
  • codiscriminating algebra
  • discriminating algebra
  • disjunctive equation
  • equational codomain
  • equational domain
  • universal algebraic geometry

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