Nonstandard Analysis, Deformation Quantization and Some Logical Aspects of (Non)Commutative Algebraic Geometry

Nonstandard Analysis, Deformation Quantization and Some Logical Aspects of (Non)Commutative Algebraic Geometry

This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory. In the first part of the second section we describe the geometri...

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Bibliographic Details
Main Authors: Alexei Kanel-Belov, Alexei Chilikov, Ilya Ivanov-Pogodaev, Sergey Malev, Eugeny Plotkin, Jie-Tai Yu, Wenchao Zhang
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Mathematics
Subjects:
universal algebraic geometry
affine algebraic geometry
elementary equivalence
isotypic algebras
first order rigidity
Ind-group
Online Access:https://www.mdpi.com/2227-7390/8/10/1694

Internet

https://www.mdpi.com/2227-7390/8/10/1694

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