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Problem 11 . Suppose that R = ( R, +, * ) is any commutative ring , and let a ER. Prove that the se 1 ( a ) = ( a * X: X ER ) is always an ideal of R....

Solve problem 11 which is based on Abstract Algebra in Ideals of Rings.

Problem 11 . Suppose that R = ( R, +, * ) is any commutative ring , and let a ER. Prove that the se1 ( a ) = ( a * X: X ER )is always an ideal of R.
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