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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