Skew polynomial extensions over zip rings. (Q938513)
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scientific article; zbMATH DE number 5313288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Skew polynomial extensions over zip rings. |
scientific article; zbMATH DE number 5313288 |
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Skew polynomial extensions over zip rings. (English)
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19 August 2008
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Let \(R\) be a left (right) zip ring, i.e., if the left (right) annihilator \(r_R(X)\) of any subset \(X\) of \(R\) is zero, then \(r_R(Y)=0\) for a finite subset \(Y\) of \(X\). In this paper, the author studies the relationship between left (right) zip property of \(R\) and skew polynomial extensions over \(R\), using the skew versions of Armendariz rings.
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skew polynomial rings
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zip rings
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Armendariz rings
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annihilators
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