Closed Polynomials in Polynomial Rings over Unique Factorization Domains

DOI10.1080/00927872.2013.879876zbMath1327.13033OpenAlexW1999466018MaRDI QIDQ5256714

Hideo Kojima, Masaya Kato

Publication date: 19 June 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.879876

zbMATH Keywords

UFDderivationclosed polynomials

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (3)

Derivations having divergence zero and closed polynomials over domains ⋮ Closed polynomials in polynomial rings over integral domains ⋮ On Some Sufficient Conditions for Polynomials to Be Closed Polynomials over Domains

Cites Work

• Positive characteristic analogs of closed polynomials
• On the kernels of some higher derivations in polynomial rings
• Rings and fields of constants for derivations in characteristic zero
• Closed polynomials and saturated subalgebras of polynomial algebras
• 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
• Rings of Constants of the Formk[f]

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