Share
Explore BrainMass

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

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.

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.

$2.19