The Krull Dimensions of Tensor Products of Commutative Algebras over a Field

DOI10.1112/jlms/s2-19.3.391zbMath0398.13008OpenAlexW2031192205MaRDI QIDQ4182821

Adrian R. Wadsworth

Publication date: 1979

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-19.3.391

zbMATH Keywords

AlgebrasTensor ProductIntegral DomainsKrull Dimensions

Mathematics Subject Classification ID

Integral domains (13G05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (16)

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 ⋮ ARTINIAN SUBRINGS OF PRODUCT OF ZERO-DIMENSIONAL RINGS ⋮ CATENARY, LOCALLY EQUIDIMENSIONAL, AND TENSOR PRODUCTS OF ALGEBRAS ⋮ Behaviour of krull dimension under extension of the base field ⋮ Seidenberg's Inequalities for Tensor Products of Algebras ⋮ AF-Domains and Their Generalizations ⋮ On Krull and Valuative Dimension of Tensor Products of Algebras ⋮ The dimension of tensor products of \(k\)-algebras arising from pullbacks ⋮ 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 ⋮ Primary rings and tensor products of algebras ⋮ On the prime ideal structure of tensor products of algebras ⋮ Arrays of prime ideals in commutative rings.

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