On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains

DOI10.1007/978-3-030-42136-6_10zbMath1455.13036OpenAlexW3013121235MaRDI QIDQ4964383

Takanori Nagamine

Publication date: 25 February 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-42136-6_10

zbMATH Keywords

polynomial ringderivationclosed polynomial

Mathematics Subject Classification ID

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

Cites Work

• Closed polynomials in polynomial rings over integral domains
• Positive characteristic analogs of closed polynomials
• The total reducibility order of a polynomial in two variables
• Rings of constants for \(k\)-derivations in \(k[x_ 1,\dots ,x_ n\)]
• Closed polynomials and their applications for computations of kernels of monomial derivations
• Derivations having divergence zero and closed polynomials over domains
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• 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]]
• Closed Polynomials in Polynomial Rings over Unique Factorization Domains
• On some properties of coordinates in polynomial rings

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