On the prime ideal structure of tensor products of algebras

DOI10.1016/S0022-4049(02)00067-1zbMath1056.13010arXivmath/0606689MaRDI QIDQ1861452

David E. Dobbs, Salah-Eddine Kabbaj, Samir Bouchiba

Publication date: 9 March 2003

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

Full work available at URL: https://arxiv.org/abs/math/0606689

zbMATH Keywords

strong S-ringtensor product of algebrasminimal prime comaximalityuniversally catenarian

Mathematics Subject Classification ID

Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (8)

Local dimension theory of tensor products of algebras over a ring ⋮ Embedding Dimension and Codimension of Tensor Products of Algebras over a Field ⋮ CATENARY, LOCALLY EQUIDIMENSIONAL, AND TENSOR PRODUCTS OF ALGEBRAS ⋮ Seidenberg's Inequalities for Tensor Products of Algebras ⋮ KRULL DIMENSION OF TENSOR PRODUCTS OF 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

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