The Ideal Completion of a Noetherian Local Domain

DOI10.1080/00927872.2015.1053901zbMath1342.13036OpenAlexW4254646131MaRDI QIDQ2815407

Simplice Tchamna

Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053901

zbMATH Keywords

completionNoetherian domainring extensiongeneric fiberideal topology\(I\)-adic topologygeneralized local ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Extension theory of commutative rings (13B02) Complete rings, completion (13J10) Power series rings (13J05)

Cites Work

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• Completeness of the ring of polynomials
• Idealization of a module
• An introduction to homological algebra
• On rings with low dimensional formal fibres
• AB-5* and linear compactness
• A counterpart to Nagata idealization
• Cotorsion modules
• A tight closure analogue of analytic spread
• Complete Fields From Local Rings

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