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    Prove that if R is a commutative ring with unit element then R[x] is also a commutative ring with unit element.

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    Modern Algebra
    Ring Theory (XXXIX)
    Polynomial Rings over Commutative Rings
    Unit Element

    Prove that R[x] is a commutative ring with unit element whenever R is.
    Or,
    Prove that if R is a commutative ring with unit element then R[x] is also a commutative ring with unit element.

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    Solution Summary

    This solution is comprised of a detailed explanation of Polynomial Rings over Commutative Rings. It contains step-by-step explanation that R[x] is a commutative ring with unit element whenever R is.

    Solution contains detailed step-by-step explanation.

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