Geodesic
Universal algebraic geometry: syntax and semantics
Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 2, pp. 75-88

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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. 
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     author = {A. Gvaramia and B. Plotkin and E. Plotkin},
     title = {Universal algebraic geometry: syntax and semantics},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2020_23_2_a4/}
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A. Gvaramia; B. Plotkin; E. Plotkin. Universal algebraic geometry: syntax and semantics. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2020) no. 2, pp. 75-88. http://geodesic.mathdoc.fr/item/FPM_2020_23_2_a4/