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    Units in R[x]: A Comprehensive Definition

    Homework Statement Define the set of units in R[x] where R is a commutative Ring and R[x] the polynomial ring.Homework Equations Unit: X is a unit in R if there exist a Y in R such that XY=1The Attempt at a Solution At first I thought it was this: R[x]* = {u +a1x + a2x^2...anx^n : u2=1 and ak2...
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