On some properties of coordinates in polynomial rings

DOI10.1080/00927872.2018.1439041zbMath1405.13014OpenAlexW2792665159MaRDI QIDQ5375996

Takanori Nagamine

Publication date: 17 September 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2018.1439041

zbMATH Keywords

derivationscoordinatesclosed polynomials

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Affine fibrations (14R25)

Related Items (2)

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
• Rings and fields of constants for derivations in characteristic zero
• An algorithm to find a coordinate's mate
• Vector fields on factorial schemes
• Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
• Derivations having divergence zero and closed polynomials over domains
• Closed polynomials and saturated subalgebras of polynomial algebras
• On the jacobian equation J(f, g) = 0 for Polynomials in k[x, y]
• Algebraic theory of locally nilpotent derivations

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