Polynomial rings over commutative linearly compact rings (Q1919012)
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scientific article; zbMATH DE number 908265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomial rings over commutative linearly compact rings |
scientific article; zbMATH DE number 908265 |
Statements
Polynomial rings over commutative linearly compact rings (English)
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29 January 1997
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It is proved that a linearly compact commutative ring \(R\) is noetherian if and only if injective hulls of simple modules over the polynomial ring \(R[X]\) are linearly compact. This result provides an example answering negatively some questions of Carl Faith.
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Vamos rings
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linearly compact modules
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Morita selfduality
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linearly compact commutative rings
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injective hulls
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simple modules
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polynomial rings
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