DIFFERENTIAL SIMPLICITY IN POLYNOMIAL RINGS AND ALGEBRAIC INDEPENDENCE OF POWER SERIES

DOI10.1112/S0024610703004708zbMath1086.13508OpenAlexW2168614803MaRDI QIDQ4819572

Yves Lequain, Paulo R. Brumatti, Daniel Levcovitz

Publication date: 27 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610703004708

zbMATH Keywords

differential modulelocal ringalgebraic differential equationderivationformal power seriesdifferentially simple ring

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Differential algebra (12H05) Transcendental field extensions (12F20) Abstract differential equations (12H20) Formal power series rings (13F25)

Related Items (16)

On plane polynomial automorphisms commuting with simple derivations ⋮ A note on isotropy groups and simple derivations ⋮ On the automorphism group of a polynomial differential ring in two variables ⋮ On Shamsuddin derivations and the isotropy groups ⋮ Simple derivations and the isotropy groups ⋮ The images of some simple derivations ⋮ Maximally differential ideals of finite projective dimension ⋮ Birational Geometry of Foliations Associated to Simple Derivations ⋮ Simple Shamsuddin derivations of \(K[X;Y_{1},\cdots ,Y_{n}\): An algorithmic characterization] ⋮ On the differential simplicity of affine rings ⋮ On cyclic essential extensions of simple modules over differential operator rings ⋮ Simple derivations in two variables ⋮ On simple Shamsuddin derivations in two variables ⋮ On the isotropy group of a simple derivation ⋮ On Solutions for Derivations of a Noetheriank-algebra and Local Simplicity ⋮ Local-global bounds for number of generators of projective modules over polynomial rings

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