Centralizer near-rings determined by PID-modules (Q5895246)
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scientific article; zbMATH DE number 4173182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Centralizer near-rings determined by PID-modules |
scientific article; zbMATH DE number 4173182 |
Statements
Centralizer near-rings determined by PID-modules (English)
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1991
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Let G be a finitely generated module over a principal ideal domain D and let \(M_ D(G)\) be the centralizer near-ring determined by \(G_ D\). Structural properties of \(M_ D(G)\) such as simplicity and semisimplicity are characterized in terms of the invariants of \(G_ D\).
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finitely generated module
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principal ideal domain
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centralizer near-ring
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simplicity
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semisimplicity
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