Closed polynomials in polynomial rings over integral domains

DOI10.1016/j.jpaa.2015.05.028zbMath1320.13010OpenAlexW657283344MaRDI QIDQ494105

Takanori Nagamine, Hideo Kojima

Publication date: 31 August 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.05.028

zbMATH Keywords

polynomial ringshigher derivationsclosed polynomials

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25)

Related Items (5)

Derivations having divergence zero and closed polynomials over domains ⋮ On some properties of coordinates in polynomial rings ⋮ Closed polynomials and their applications for computations of kernels of monomial derivations ⋮ On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains ⋮ Notes on kernels of rational higher derivations in integrally closed domains

Cites Work

• Positive characteristic analogs of closed polynomials
• On the kernels of some higher derivations in polynomial rings
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Some types of derivations and their applications to field theory
• On finding and cancelling variables in k[X,Y,Z]
• Rings and fields of constants for derivations in characteristic zero
• Kernels of Higher Derivations inR[x,y]
• Closed polynomials and saturated subalgebras of polynomial algebras
• On the jacobian equation J(f, g) = 0 for Polynomials in k[x, y]
• Sur les polynomes f(X,Y) tels que K[f est integralement ferme dans K[X,Y]]
• Galois Theory for Fields K/k Finitely Generated
• Constants of derivations in polynomial rings over unique factorization domains
• Closed Polynomials in Polynomial Rings over Unique Factorization Domains
• Rings of Constants of the Formk[f]

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