Derivations having divergence zero and closed polynomials over domains

DOI10.1016/j.jalgebra.2016.04.030zbMath1353.13021OpenAlexW2410611116MaRDI QIDQ2629886

Takanori Nagamine

Publication date: 8 July 2016

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2016.04.030

zbMATH Keywords

derivationclosed polynomial

Mathematics Subject Classification ID

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

Related Items (3)

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

Cites Work

• Unnamed Item
• Closed polynomials in polynomial rings over integral domains
• Positive characteristic analogs of closed polynomials
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• 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]]
• Constants of derivations in polynomial rings over unique factorization domains
• Closed Polynomials in Polynomial Rings over Unique Factorization Domains
• Derivations having divergence zero on \(R[X,Y\).]

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