DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS

DOI10.1017/jsl.2017.54zbMath1422.03078arXiv1507.00971OpenAlexW3105598260MaRDI QIDQ4600454

Vahagn A. Aslanyan

Publication date: 11 January 2018

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

Full work available at URL: https://arxiv.org/abs/1507.00971

zbMATH Keywords

abstract differential equationreductmodel theoretic algebradifferentially closed fielddefinable derivation

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Abstract differential equations (12H20) Interpolation, preservation, definability (03C40) Quantifier elimination, model completeness, and related topics (03C10)

Related Items (3)

Ax-Schanuel for linear differential equations ⋮ Adequate predimension inequalities in differential fields ⋮ Ax-Schanuel and strong minimality for the \(j\)-function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ax-Schanuel for the \(j\)-function
• A new strongly minimal set
• Pseudo-exponentiation on algebraically closed fields of characteristic zero
• The theory of the exponential differential equations of semiabelian varieties
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• On Schanuel's conjectures
• Model theory of special subvarieties and Schanuel-type conjectures
• EXPONENTIAL SUMS EQUATIONS AND THE SCHANUEL CONJECTURE
• Model Theory

This page was built for publication: DEFINABILITY OF DERIVATIONS IN THE REDUCTS OF DIFFERENTIALLY CLOSED FIELDS