Space of minimal prime ideals of a ring without nilpotent elements (Q790917)
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scientific article; zbMATH DE number 3849436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Space of minimal prime ideals of a ring without nilpotent elements |
scientific article; zbMATH DE number 3849436 |
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Space of minimal prime ideals of a ring without nilpotent elements (English)
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1983
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The authors study the hull-kernel topology on the spectrum of a non- commutative ring with unit and its restriction to the minimal spectrum, i.e. the set of the minimal prime ideals. They characterize compactness of the minimal spectrum. The final theorem establishes a functorial correspondence between the category of normal rings and their minimal spectra; here the authors forget to mention that only epimorphisms are considered in their category of normal rings!
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hull-kernel topology
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minimal spectrum
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minimal prime ideals
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compactness
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category of normal rings
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