Algebraic compactness of reduced powers over commutative perfect rings (Q1805513)
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scientific article; zbMATH DE number 756432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic compactness of reduced powers over commutative perfect rings |
scientific article; zbMATH DE number 756432 |
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Algebraic compactness of reduced powers over commutative perfect rings (English)
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18 May 1995
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We prove that for a commutative local ring, the algebraic compactness of certain reduced powers forces it to be a valuation ring. We then use this to derive some characterizations of perfect rings. In particular we show that a result, originally proved by Jensen and Zimmermann-Huisgen for artinian rings, holds in fact for perfect rings.
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algebraic compactness
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reduced powers
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valuation ring
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perfect rings
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artinian rings
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