On the existence of maximal \(\mathcal{S}\)-closed submodules (Q509936)
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scientific article; zbMATH DE number 6684910
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of maximal \(\mathcal{S}\)-closed submodules |
scientific article; zbMATH DE number 6684910 |
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On the existence of maximal \(\mathcal{S}\)-closed submodules (English)
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15 February 2017
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Summary: The goal of this paper is to characterize the right non-singular rings \(R\) for which every non-singular right \(R\)-module contains a maximal \(\mathcal{S}\)-closed submodule. Several examples and related results are given.
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\(\mathcal{S}\)-closed submodule
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primitive idempotents
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reduced ring
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