A Note on Finite Dimensional Subrings of Polynomial Rings

DOI10.2307/2038515zbMath0232.16009OpenAlexW4243426334MaRDI QIDQ5639817

Paul M. jun. Eakin

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038515

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (17)

Rational maps \(H\) for which \(K(th)\) has transcendence degree 2 over \(K\) ⋮ Generators of rings of constants for some diagonal derivations in polynomial rings ⋮ The prime spectra of subalgebras of affine algebras and their localizations ⋮ Free actions ofp-groups on affine varieties in characteristicp ⋮ Mad subalgebras of rings of differential operators on curves. ⋮ Half-factorial subrings of factorial domains ⋮ On finite generation of Noetherian algebras over two-dimensional regular local rings ⋮ Rings with trivial FML-invariant ⋮ When is the intersection of two finitely generated subalgebras of a polynomial ring also finitely generated? ⋮ On the kernels of some higher derivations in polynomial rings ⋮ Some results on retracts of polynomial rings ⋮ On finite generation of \(R\)-subalgebras of \(R[X\)] ⋮ Lüroth field extensions ⋮ Hilbert subalgebras of finitely generated algebras ⋮ Some $K$-theoretic properties of the kernel of a locally nilpotent derivation on $k[X_1, \dots , X_4$] ⋮ A note on retracts of polynomial rings in three variables ⋮ Degree estimate for commutators.

Cites Work

• The converse to a well known theorem on Noetherian rings
• Lectures on the fourteenth problem of Hilbert
• On Krull Overrings of a Noetherian Domain
• Rings of Polynomials
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