Answer to Question #350988 in Abstract Algebra for Deq

Abstract Algebra

Question #350988

3.5. If U is an ideal of R and 1 ∈ U, prove that U = R.

Expert's answer

Since for any "r\\in R" and "u \u2208 U", "ru \u2208 U" we have for any "r \u2208 R", "r\\cdot1 = r \u2208 U". Hence "R = U".

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