Notes on kernels of rational higher derivations in integrally closed domains

zbMath1419.13049MaRDI QIDQ2320375

Hideo Kojima

Publication date: 22 August 2019

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1565048775

zbMATH Keywords

higher derivationregular field extensionrational higher derivation

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings of differential operators and their modules (13N10)

Cites Work

• Unnamed Item
• Closed polynomials in polynomial rings over integral domains
• On the kernels of some higher derivations in polynomial rings
• Some types of derivations and their applications to field theory
• Rings and fields of constants for derivations in characteristic zero
• Polynomial automorphisms and the Jacobian conjecture
• Notes on the Kernels of Locally Finite Higher Derivations in Polynomial Rings
• Kernels of Higher Derivations inR[x,y]
• ON A THEOREM OF AYAD AND RYCKELYNCK
• Galois Theory for Fields K/k Finitely Generated
• A note on characterizations of rings of constants with respect to derivations
• Algebraic theory of locally nilpotent derivations

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