Universal algebraic geometry: Syntax and semantics

A. Gvaramia, B. Plotkin, E. Plotkin

Research output: Contribution to journalArticlepeer-review


In this paper, we give a general insight into the ideas that make ground for the developing of universal algebraic geometry and logical geometry. We specify the role of algebraic logic as one of the major instruments of the whole theory. The problem of the sameness of geometries of algebraic and definable sets for different algebras is considered as ans illuminating example how algebra, geometry, model theory, and algebraic logic work together.

Original languageEnglish
Pages (from-to)75-88
Number of pages14
JournalFundamental and Applied Mathematics
Issue number2
StatePublished - 2020

Bibliographical note

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© 2020, Lomonosov Moscow State University. All rights reserved.


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