Noetherian Graded Rings

Groups, Rings, Domains, Modules, etc, Galois theory
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Tsakanikas Nickos
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Noetherian Graded Rings

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Post by Tsakanikas Nickos »

Show that a graded ring \( \displaystyle B = \oplus_{d \in \mathbb{Z} } B_{d} \) is Noetherian if and only if \( B_{0} \) is Noetherian and \( B_{+} \) is a finitely generated ideal.
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