The Zariski topology on the second spectrum of a module (Q2928451)
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scientific article; zbMATH DE number 6366789
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Zariski topology on the second spectrum of a module |
scientific article; zbMATH DE number 6366789 |
Statements
7 November 2014
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second submodule
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second spectrum
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cotop module
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spectral space
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Zariski topology
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The Zariski topology on the second spectrum of a module (English)
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Let \(R\) be a commutative ring and let \(M\) be an \(R\)-module. The second spectrum \(\mathrm{Spec}^s(M)\) is the collection of all second submodules of \(M\). In the paper under review, the authors topologize the second spectrum with Zariski topology. They obtain conditions, for various types of modules, under which the second spectrum is a spectral space.
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