How do I show that the units of $R[x] = $ the units of $R$ where $R$ is an integral domain?
53661
Intuition surrounding units in $R[x]$
141659
Every field is an integral domain
57031
Ring of fractions of $R$ is integral over $R$
111824
Sum of nilpotent and element is a unit in ring?
96132
$R$ integral domain : $u\in R^*, a \text{ is prime} \iff au \text{ is prime}$
90599
Trouble with proving $A$ is an integrally closed domain $\Rightarrow$ $A[t]$ is integrally closed domain
71479
Is there some elementary proof of invariance of domain?
95863
Describe the units in $\mathbb{Z}[\sqrt{-d}]$
121845
Quotient of polynomials, PID but not Euclidean domain?
84301
Showing that some Function on the Unit Disc is injective
112099
Polynomial ring with integral coefficients is integral
79535
Prove that $R$ is a commutative ring if $x^3=x$
126503
Showing that an integral domain is a PID if it satisfies two conditions
101637
Let $R$ be an integral domain. If $x \in R$ is prime, then $x$ is irreducible.
86807
The units of $\mathbb Z[\sqrt{2}]$
33645
Proving that an integral domain has at most two elements that satisfy the equation $x^2 = 1$.
99715
Proper ideal and units proof