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Noetherian property of inductive limits of Noetherian local rings

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Publication:1180783
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DOI10.3792/pjaa.67.68zbMath0743.13010OpenAlexW2027523853MaRDI QIDQ1180783

Tetsushi Ogoma

Publication date: 27 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.68


zbMATH Keywords

inductive limitnoetheriannessfiltered inductive system


Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Local rings and semilocal rings (13H99)


Related Items (6)

Reducedness, formal smoothness and approximation in characteristic p ⋮ Test modules, weakly regular homomorphisms and complete intersection dimension ⋮ Direct limits of Cohen-Macaulay rings ⋮ Tensor products and direct limits of almost Cohen–Macaulay modules ⋮ Desingularization of regular algebras ⋮ On the behavior of F-rational rings under flat base change



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