Rings of nilpotent elements of monomial derivations on polynomial rings

DOI10.1080/00927872.2024.2312459MaRDI QIDQ6495930

Hideo Kojima, Unnamed Author

Publication date: 2 May 2024

Published in: Communications in Algebra (Search for Journal in Brave)

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25)

Cites Work

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• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Generators of rings of constants for some diagonal derivations in polynomial rings
• Closed polynomials and their applications for computations of kernels of monomial derivations
• On the uniqueness of the coefficient ring in a polynomial ring
• Van den Essen's conjecture on the kernel of a derivation having a slice
• Kernels of Higher Derivations inR[x,y]
• Algebraic theory of locally nilpotent derivations

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