On the n-coherence of the perfect closure of some ring extensions

DOI10.1142/S1793557118500778zbMath1402.13005OpenAlexW2737869060MaRDI QIDQ4556425

Mostafa Amini, Farzad Shaveisi

Publication date: 16 November 2018

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557118500778

zbMATH Keywords

ring extensionperfect closure\(n\)-coherent

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Étale and flat extensions; Henselization; Artin approximation (13B40)

Cites Work

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• Gorenstein σ[T-injectivity on T-coherent rings]
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• Parameterizing families of non-noetherian rings
• Onn-Coherent rings
• n-COHERENT RINGS
• Ideals in a perfect closure, linear growth of primary decompositions, and tight closure

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