Algebraic and categorical properties of \(r\)-ideal systems (Q1599721)
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scientific article; zbMATH DE number 1751241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebraic and categorical properties of \(r\)-ideal systems |
scientific article; zbMATH DE number 1751241 |
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Algebraic and categorical properties of \(r\)-ideal systems (English)
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13 January 2003
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Summary: The structures \((G,r)\), where \(r\) is a system of ideals defined on a directed group \(G\), play an important role in solving arithmetical problems. In this paper, we investigate how some properties of these systems are transferred to their cartesian products and their substructures. The results we obtain find an application in the study of categorical properties of these structures.
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ideals
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directed group
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