Algebraic Geometry over Groups II. Logical Foundations

Alexei Myasnikov, Vladimir Remeslennikov

Research output: Contribution to journalArticlepeer-review

118 Scopus citations

Abstract

The object of this paper, which is the second in a series of three, is to lay the logical foundations of the algebraic geometry over groups. Exploiting links between the algebraic geometry over groups and model theory we solve two problems on geometrical equivalence of groups which are due to B. Plotkin.

Original languageEnglish
Pages (from-to)225-276
Number of pages52
JournalJournal of Algebra
Volume234
Issue number1
DOIs
StatePublished - 1 Dec 2000

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