The \(p\)-primes of a commutative ring (Q1066199)
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scientific article; zbMATH DE number 3924941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(p\)-primes of a commutative ring |
scientific article; zbMATH DE number 3924941 |
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The \(p\)-primes of a commutative ring (English)
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1987
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The p-primes of a commutative ring and their associated completions are introduced (where \(p=0\) or a rational prime). We prove that these completions are unique up to isomorphism. Several examples are given which, in particular, show that p-primes generalize both finite and infinite primes in algebraic number fields.
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p-primes
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completions
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valuation
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formally real
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formally p-adic
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