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Answer to Question #22751 in Algebra for Tsit Lam

Question #22751
Let J be an ideal in any ring R. If J ⊆ rad(R), show that, for any i ≥ 1, the multiplicative group (1 + J^i)/(1 + J^(i+1)) is isomorphic to the additive group J^i/J^i+1.
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