scientific article

zbMath0577.13011MaRDI QIDQ3698910

Alain Bouvier, Marco Fontana

Publication date: 1985

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

valuation domaindivided prime idealpull-backscatenarian propertyextension of prime idealspolynomial rings over Prüfer domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (8)

Universally catenarian integral domains ⋮ On the Krull and valuative dimension of \(D+XD_ S[X\) domains] ⋮ On universally catenarian pairs ⋮ Catenarity of formal power series rings over a pullback ⋮ On almost valuation ring pairs ⋮ The catenarian property of power series rings over a globalized pseudo- valuation domain ⋮ Some chain conditions in pullbacks ⋮ On the prime ideal structure of tensor products of algebras

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