Answer to Question #351024 in Abstract Algebra for Fed

Question #351024

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


1
Expert's answer
2022-06-21T12:19:30-0400

Since for any "r\\in R" and "u\\in U", "ru\\in U" we have for any "r\\in R", "r\\cdot 1=r\\in U". Hence "R=U".





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