Assoziierter graduierter Ring/Homogenes Ideal/Restklassenring/Aufgabe

Sei ${}R=K[X_{1},\ldots ,X_{n}]/{\mathfrak {b}}$ mit einem homogenen Ideal und sei ${}{\mathfrak {m}}={\left(X_{1},\ldots ,X_{n}\right)}$ . Zeige

{}\operatorname {Gr} _{\mathfrak {m}}R\cong R\,.

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