Pseudofinite difference fields

DOI10.1142/S0219061319500119zbMath1445.03039arXiv1806.10026MaRDI QIDQ4973031

Tingxiang Zou

Publication date: 29 November 2019

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10026

zbMATH Keywords

ultraproducttransformal transcendence degreecoarse pseudofinite dimensionfinite difference field

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ultraproducts and related constructions (03C20) Model theory of fields (12L12) Difference algebra (12H10) Ultraproducts and field theory (12L10)

Cites Work

• On pseudo-finite dimensions
• ACFA and measurability
• Classification theory and the number of non-isomorphic models.
• Generic structures and simple theories
• Groups definable in local fields and pseudo-finite fields
• Improved explicit estimates on the number of solutions of equations over a finite field
• The elementary theory of finite fields
• Stable group theory and approximate subgroups
• MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
• Theories of arithmetics in finite models
• Model theory of difference fields
• Projective geometries arising from Elekes-Szabó problems
• Model Theory of Fields With Operators – a Survey
• One-dimensional asymptotic classes of finite structures
• Pseudofinite structures and simplicity
• The Mordell-Lang conjecture for function fields
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