A(X) and GB-Noetherian rings

DOI10.1216/RMJ-1979-9-2-337zbMath0426.13006MaRDI QIDQ1135889

Louis J. jun. Ratliff

Publication date: 1979

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Noetherian ringaltitudering of rational functionscatenary ringGB- local domainGB-ringgoing-between ringsecond chain condition for prime ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (6)

On strong going-between, going-down, and their universalizations. II ⋮ The rings R(X) and \(R<X>\) ⋮ Prüfer conditions in the Nagata ring and the Serre’s conjecture ring ⋮ Four notes on GB-rings ⋮ Local domains with bad sets of formal prime divisors ⋮ Hereditary localization of polynomial rings

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