KRULL DIMENSION OF TENSOR PRODUCTS OF PULLBACKS

DOI10.1142/S0219498809003345zbMath1175.13005arXiv0902.2467OpenAlexW2962967579MaRDI QIDQ3637793

Samir Bouchiba

Publication date: 14 July 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2467

Mathematics Subject Classification ID

Integral dependence in commutative rings; going up, going down (13B21) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Chains of prime ideals in tensor products of algebras
• Universally catenarian integral domains
• The dimension of tensor products of \(k\)-algebras arising from pullbacks
• Tensor products of Cohen-Macaulay rings: Solution to a problem of Grothendieck
• On the prime ideal structure of tensor products of algebras
• Finitely generated rings over a valuation ring
• On Krull dimension of tensor products of algebras arising from AF-domains
• The Dimension of the Tensor Product of Two Field Extensions

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