# Answer to Question #17831 in Algebra for Melvin Henriksen

Question #17831

For any ring R with (Jacobson) radical J, show that the power series ring A = R[[xi : i ∈ I]] (in a nonempty set of, say, commuting variables

{xi}) has radical J + (sum over I)Axi.

{xi}) has radical J + (sum over I)Axi.

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