Seidenberg's Inequalities for Tensor Products of Algebras

DOI10.1081/AGB-200063525zbMath1085.13006OpenAlexW1978288589MaRDI QIDQ5466680

Samir Bouchiba

Publication date: 25 August 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200063525

zbMATH Keywords

polynomial ringKrull dimensiontranscendence degreetensor productAF-domain

Mathematics Subject Classification ID

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

Related Items (3)

Chains of prime ideals in tensor products of algebras ⋮ On Krull and Valuative Dimension of Tensor Products of Algebras ⋮ On Krull dimension of tensor products of algebras arising from AF-domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction B, I, D et anneaux localement ou residuellement de Jaffard. (B, I, D construction and locally or residually Jaffard rings)
• Topologically defined classes of commutative rings
• 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
• The Dimension Sequence of a Commutative Ring
• The Dimension of the Tensor Product of Two Field Extensions
• The Krull Dimensions of Tensor Products of Commutative Algebras over a Field
• Primary rings and tensor products of algebras
• Sur quelques propriétés des sous-anneaux de la forme D+I dun anneau intègre

This page was built for publication: Seidenberg's Inequalities for Tensor Products of Algebras