The Ohm-Rush content function III: Completion, globalization, and power-content algebras

DOI10.4134/JKMS.j200475zbMath1480.13007arXiv2008.07616OpenAlexW3213368926MaRDI QIDQ5034898

Jay Shapiro, Neil Epstein

Publication date: 21 February 2022

Full work available at URL: https://arxiv.org/abs/2008.07616

zbMATH Keywords

completionDedekind domaincommutative algebrafaithfully flatcontent algebrasOhm-Rushextended ideals

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Étale and flat extensions; Henselization; Artin approximation (13B40) Completion of commutative rings (13B35)

Related Items (1)

Vanishing of Tors of absolute integral closures in equicharacteristic zero

Cites Work

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• Gaussian elements of a semicontent algebra
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• On the Anderson-Badawi $\omega_{R[X}(I[X])=\omega_R(I)$ conjecture]
• Content Algebras
• Untersuchungen über Teilbarkeitseigenschaften in Körpern.
• The Ohm–Rush content function II. Noetherian rings, valuation domains, and base change
• Some Applications of the Hilfssatz von Dedekind Mertens.
• Content Modules and Algebras.
• Rings Which are Almost Polynomial Rings

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