Embedding Dimension and Codimension of Tensor Products of Algebras over a Field

DOI10.1007/978-3-319-65874-2_4zbMath1390.13071arXiv1701.05365OpenAlexW2580964077MaRDI QIDQ4639003

Samir Bouchiba, Salah-Eddine Kabbaj

Publication date: 2 May 2018

Published in: Rings, Polynomials, and Modules (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05365

zbMATH Keywords

regular ringKrull dimensionembedding dimensionseparable extensionembedding codimensiontensor product of \(k\)-algebras

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension and commutative rings (13D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Regular local rings (13H05) Rings of fractions and localization for commutative rings (13B30)

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Regularity and related properties in tensor products of algebras over a field

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