Dimension theory of tensor products of AF-rings

zbMath1346.13022arXiv1601.07654MaRDI QIDQ2823134

Salah-Eddine Kabbaj

Publication date: 6 October 2016

Full work available at URL: https://arxiv.org/abs/1601.07654

zbMATH Keywords

Krull dimensionpullbackaltitude formulatensor product of algebrasJaffard ringvaluative dimensionAF-ringlocally Jaffard ring

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Regular local rings (13H05) Rings of fractions and localization for commutative rings (13B30)

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