AP-domains and unique factorization. (Q1434763)
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scientific article; zbMATH DE number 2078849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | AP-domains and unique factorization. |
scientific article; zbMATH DE number 2078849 |
Statements
AP-domains and unique factorization. (English)
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12 July 2004
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Let \(R\) be a domain and \(\pi \in R\) an irreducible element which is not prime. The authors construct a domain \(T \supset R\) such that \(\pi\) is (up to associates) the only irreducible element of \(T\) but is not a prime element of \(T\).
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prime elements
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irreducible elements
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factorial domains
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