EQUATIONAL THEORIES OF FIELDS

DOI10.1017/jsl.2020.13zbMath1472.03031arXiv1702.05735OpenAlexW3106239187MaRDI QIDQ5148112

Martin Ziegler, Amador Martin-Pizarro

Publication date: 29 January 2021

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05735

zbMATH Keywords

differential algebraseparably closed fieldspairs of fieldsequationality

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Classification theory, stability, and related concepts in model theory (03C45) Model theory of fields (12L12)

Cites Work

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• Imaginaries in pairs of algebraically closed fields
• The notion of independence in categories of algebraic structures. I: Basic properties
• Lovely pairs of models
• Quantifier elimination in pairs of algebraically closed fields
• Complete theories of algebraically closed fields with distinguished subfields
• A note on equational theories
• THE INDISCERNIBLE TOPOLOGY: A MOCK ZARISKI TOPOLOGY
• Paires de structures stables
• Closed sets and chain conditions in stable theories
• The independence relation in separably closed fields
• Idéaux et types sur les corps séparablement clos

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