The dimension of tensor products of \(k\)-algebras arising from pullbacks

DOI10.1016/S0022-4049(98)00030-9zbMath0947.13009arXivmath/0606697MaRDI QIDQ1295725

Samir Bouchiba, Salah-Eddine Kabbaj, Florida Girolami

Publication date: 29 June 2000

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

Full work available at URL: https://arxiv.org/abs/math/0606697

zbMATH Keywords

Krull dimensionpullbackvaluative dimension

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (13)

ON CONJUGATE PRIME IDEALS OF TENSOR PRODUCTS OF k-ALGEBRAS ⋮ Local dimension theory of tensor products of algebras over a ring ⋮ Chains of prime ideals in tensor products of algebras ⋮ Embedding Dimension and Codimension of Tensor Products of Algebras over a Field ⋮ Seidenberg's Inequalities for Tensor Products of Algebras ⋮ KRULL DIMENSION OF TENSOR PRODUCTS OF PULLBACKS ⋮ AF-Domains and Their Generalizations ⋮ The (n,d)-Krull Property over Domains Arising from Pullbacks ⋮ On Krull and Valuative Dimension of Tensor Products of Algebras ⋮ Regularity and related properties in tensor products of algebras over a field ⋮ On Krull dimension of tensor products of algebras arising from AF-domains ⋮ Tensor products of Cohen-Macaulay rings: Solution to a problem of Grothendieck ⋮ On the prime ideal structure of tensor products of algebras

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