Chains of prime ideals in tensor products of algebras

DOI10.1016/j.jpaa.2006.07.014zbMath1117.13011OpenAlexW2000751889MaRDI QIDQ872172

Samir Bouchiba

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.07.014

zbMATH Keywords

tensor productsKrull dimensionchains of prime ideals

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Local dimension theory of tensor products of algebras over a ring ⋮ KRULL DIMENSION OF TENSOR PRODUCTS OF PULLBACKS ⋮ AF-Domains and Their Generalizations

Cites Work

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• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• On Jaffard domains
• The dimension of tensor products of \(k\)-algebras arising from pullbacks
• Tensor products of Cohen-Macaulay rings: Solution to a problem of Grothendieck
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• On Krull dimension of tensor products of algebras arising from AF-domains
• The Dimension of the Tensor Product of Two Field Extensions
• The Krull Dimensions of Tensor Products of Commutative Algebras over a Field
• Seidenberg's Inequalities for Tensor Products of Algebras

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