# Answer to Question #22745 in Algebra for Tsit Lam

Question #22745

Let R be a graded ring. Show that J = rad R is a graded ideal of R, in the sense that J has a decomposition

J = J0 ⊕ J1 ⊕• • • , where Ji = J ∩ Ri.

J = J0 ⊕ J1 ⊕• • • , where Ji = J ∩ Ri.

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