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Space of minimal prime ideals of a ring without nilpotent elements - MaRDI portal

Space of minimal prime ideals of a ring without nilpotent elements (Q790917)

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scientific article; zbMATH DE number 3849436
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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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