On the level of principal ideal domains (Q719670)
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scientific article; zbMATH DE number 5956230
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the level of principal ideal domains |
scientific article; zbMATH DE number 5956230 |
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On the level of principal ideal domains (English)
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11 October 2011
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The main result is the following theorem: For any integer \(n\geq 1\) there are principal ideal domains \(A\) with field of fractions \(K\) such that the level \(s(K)= 3^n\) and the level \(s(A)= 2^n+1\). Furthermore there are some results on the sublevel of principal ideal domains.
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level
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sublevel
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PID
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Dedekind ring
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