Polynomial rings over commutative rings
Assignment:
If R is an integral domain with unit element, prove that any unit in R[x] is a unit in R and any unit in R is also a unit in R[x].
Provide complete and step by step solution for the question and show calculations and use formulas.
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Let R be a commutative ring with no non-zero nilpotent elements ( that is, an = 0 implies).
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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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