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Finiteness conditions in Krull subrings of a ring of polynomials

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Publication:1837243
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DOI10.1007/BF02761729zbMath0507.13008MaRDI QIDQ1837243

Bronisław Wajnryb

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

monomialsKrull subring of ring of polynomialsnon-affine Krull domain


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15)


Related Items

When is the intersection of two finitely generated subalgebras of a polynomial ring also finitely generated?



Cites Work

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  • \(A\)-subalgebras of \(A[x\)]
  • Divisibility properties in semigroup rings
  • Semigroup rings as Prüfer rings
  • Non finiteness in finite dimensional Krull domains
  • The divisor class group of a semigroup ring
  • Subrings of Generated by Monomials
  • Graded krull domains
  • On Krull Overrings of a Noetherian Domain
  • On the 14-th Problem of Hilbert
  • Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
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