Krull dimension, transcendence degree and subalgebras of finitely generated algebras
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Publication:1150657
DOI10.1007/BF01223706zbMath0457.13008MaRDI QIDQ1150657
Publication date: 1981
Published in: Archiv der Mathematik (Search for Journal in Brave)
integral domainsKrull dimensionfinitely generated algebranoetheriandimensional radicaltranscendence degree of the quotient field
Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items (18)
Anneaux noethériens de hilbert ⋮ Some results on codimension-one \(\mathbb A^{1}\)-fibrations ⋮ Fixed point free locally nilpotent derivations of \(\mathbb A^2\)-fibrations ⋮ On finite generation of kernels of locally nilpotent \(R\)-derivations of \(R[X,Y,Z\)] ⋮ The prime spectra of subalgebras of affine algebras and their localizations ⋮ Krull dimension and monomial orders ⋮ Algorithmic invariant theory of nonreductive groups ⋮ Recent progress on submersions: a survey and new properties ⋮ On finite generation of Noetherian algebras over two-dimensional regular local rings ⋮ The separating variety for matrix semi-invariants ⋮ The separating variety for 2 × 2 matrix invariants ⋮ Multigraded algebras and multigraded linear series ⋮ Kernel of locally nilpotent 𝑅-derivations of 𝑅[𝑋,𝑌] ⋮ A Chevalley theorem for difference equations ⋮ Some localizations which are Hilbert rings ⋮ Triangular derivations of \({\mathbf k}[X_1,X_2,X_3,X_4\)] ⋮ Unnamed Item ⋮ Radical valuatif et sous-extensions
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