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On properties of \(G\text{-spec}(R)\) - MaRDI portal

On properties of \(G\text{-spec}(R)\) (Q2747280)

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scientific article; zbMATH DE number 1657468
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English
On properties of \(G\text{-spec}(R)\)
scientific article; zbMATH DE number 1657468

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    21 November 2002
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    graded radical
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    graded ring
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    graded prime spectra
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    On properties of \(G\text{-spec}(R)\) (English)
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    Let \(G\) be a group with identity element \(e\), and let \(R\) be a \(G\)-graded ring. The graded prime spectrum of \(R\) is used to study certain properties of \(R\) like: first strong, semiprime, prime and faithful. Connections to the prime spectra of \(R_e\), the homogeneous component of degree \(e\), are given.
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