Dimension polynomials of intermediate fields and Krull-type dimension of finitely generated differential field extensions

DOI10.1007/S11786-010-0048-ZzbMath1230.12004OpenAlexW1965560035MaRDI QIDQ541956

Alexander B. Levin

Publication date: 8 June 2011

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-010-0048-z

zbMATH Keywords

differential fielddifferential transcendence degreedifferential type

Mathematics Subject Classification ID

Differential algebra (12H05)

Related Items (2)

The Differential Dimension Polynomial for Characterizable Differential Ideals ⋮ Hilbert-Type Dimension Polynomials of Intermediate Difference-Differential Field Extensions

Cites Work

• Unnamed Item
• Computations in differential and difference modules
• Kähler differentials and differential algebra
• A notion of Krull dimension for differential rings
• Well-Ordering of Certain Numerical Polynomials
• The notion of dimension in the theory of algebraic differential equations
• Differential Dimension Polynomials and a Fundamental Theorem on Differential Modules

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