Noetherian domains inside a homomorphic image of a completion

DOI10.1006/jabr.1998.7763zbMath0944.13009OpenAlexW1989775711WikidataQ123151428 ScholiaQ123151428MaRDI QIDQ1295941

Sylvia Wiegand, Christel Rotthaus, William J. Heinzer

Publication date: 12 September 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7763

zbMATH Keywords

Noetherian domainflatness conditionregular morphismresidue fieldNoetheriannessfraction field\(I\)-adic completion

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Morphisms of commutative rings (13B10) Integral domains (13G05) Completion of commutative rings (13B35) Complete rings, completion (13J10) Rings of fractions and localization for commutative rings (13B30)

Related Items (4)

A class of local noetherian domains ⋮ A few examples of local rings. I ⋮ Examples of non-Noetherian domains inside power series rings ⋮ Multiplicities and a dimension inequality for unmixed modules

Cites Work

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• A Peculiar Unmixed Domain
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