On the Integral Degree of Integral Ring Extensions

DOI10.1017/S0013091518000275zbMath1423.13058arXiv1507.02120OpenAlexW2964008096MaRDI QIDQ5228200

José M. Giral, Liam O'Carroll, Bernat Plans, Francesc Planas-Vilanova

Publication date: 9 August 2019

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

Full work available at URL: https://arxiv.org/abs/1507.02120

zbMATH Keywords

Dedekind domainfield extensionintegral closureNagata ringintegral extensionintegral degree

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Integral closure of commutative rings and ideals (13B22) Integral domains (13G05) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21)

Cites Work

• Rings of low rank with a standard involution
• Baire's category theorem and prime avoidance in complete local rings
• Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers
• Stable rings
• Structure theory for algebraic algebras of bounded degree
• On a problem of Kurosch and Jacobson
• On a problem of A. Kurosch
• Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
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