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)642-651
Number of pages10
JournalJournal of Mathematical Sciences
Issue number5
StatePublished - Apr 2022

Bibliographical note

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© 2022, Springer Science+Business Media, LLC, part of Springer Nature.


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