On the Krull and valuative dimension of \(D+XD_ S[X]\) domains

DOI10.1016/0022-4049(90)90069-TzbMath0698.13003MaRDI QIDQ912153

Marco Fontana, Salah-Eddine Kabbaj

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Krull dimensionuniversally catenarian domain(D\(+I)\)-ringsstably strong S-domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (9)

Various Facets of Rings BetweenD[X andK[X]] ⋮ Quelques proprietes des chaines dideaux dans les anneaux A + XB[X] ⋮ GENERALIZED RSA CIPHER AND DIFFIE-HELLMAN PROTOCOL ⋮ Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre ⋮ On the prime ideal structure of symbolic Rees algebras ⋮ Universally catenarian domains of the type \(A + I\) ⋮ On the prime spectrum of commutative semigroup rings ⋮ On the prime ideal structure of tensor products of algebras ⋮ On the spectrum of the group ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong S-domains
• Universally catenarian integral domains
• On Jaffard domains
• Topologically defined classes of commutative rings
• The construction \(D+XD_s[X\)]
• Two sufficient conditions for universal catenarity

This page was built for publication: On the Krull and valuative dimension of \(D+XD_ S[X]\) domains