A note on the axioms for Zilber's pseudo-exponential fields

DOI10.1215/00294527-2143844zbMath1345.03070arXiv1006.0894OpenAlexW2076349653MaRDI QIDQ372627

Jonathan Kirby

Publication date: 9 October 2013

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0894

zbMATH Keywords

first-order theoryexponential fieldsabstract elementary classpseudo-exponentiationSchanuel property

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Abstract elementary classes and related topics (03C48)

Related Items (9)

Shelah's eventual categoricity conjecture in universal classes. I. ⋮ Abstract elementary classes stable in \(\aleph_{0}\) ⋮ Exponentially closed fields and the conjecture on intersections with tori ⋮ Mini-workshop: Topological and differential expansions of o-minimal structures. Abstracts from the mini-workshop held November 27 -- December 3, 2022 ⋮ Involutions on Zilber fields ⋮ Structural logic and abstract elementary classes with intersections ⋮ Adequate predimension inequalities in differential fields ⋮ A PSEUDOEXPONENTIAL-LIKE STRUCTURE ON THE ALGEBRAIC NUMBERS ⋮ Computable categoricity for pseudo-exponential fields of \(\aleph_1\)

Cites Work

• Exponentially closed fields and the conjecture on intersections with tori
• Pseudo-exponentiation on algebraically closed fields of characteristic zero
• Abstract elementary classes and infinitary logics
• Independence in finitary abstract elementary classes
• Exponential algebraicity in exponential fields
• COVERS OF THE MULTIPLICATIVE GROUP OF AN ALGEBRAICALLY CLOSED FIELD OF CHARACTERISTIC ZERO

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