Noetherian property of inductive limits of Noetherian local rings (Q1180783)
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scientific article; zbMATH DE number 29819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noetherian property of inductive limits of Noetherian local rings |
scientific article; zbMATH DE number 29819 |
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Noetherian property of inductive limits of Noetherian local rings (English)
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27 June 1992
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This note is concerned with verifying the following result. Let \(\{(A_ i,m_ i)\mid i\) is an element of \(I\)\} be a filtered inductive system of noetherian local rings such that \(m_ iA_ j=m_ j\) for \(j\geq i\). Then the inductive limit \(A\) of the system is noetherian.
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noetherianness
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filtered inductive system
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inductive limit
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