How to find all the prime and maximal ideals of $\mathbb R [x]$?
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
133975
Localising a polynomial ring and non-maximal prime ideal
83050
Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.
129371
Maximal ideals in the ring of real functions on $[0,1]$
94819
Prove that $\frac{\mathbb{C}[x,y]}{\langle x^2-y^2-1\rangle}$ is an integral domain such that all the nonzero prime ideals are maximal.
92519
ideal behind Maximal ideals are Prime ideals
81743
Prime ideals in $C[0,1]$
1719
Ideals in the ring of Gaussian integers
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
146304
prove $(n)$ prime ideal of $\mathbb{Z}$ iff $n$ is prime or zero
78455
Prove that a nonzero integer p is prime if and only if the ideal (p) is maximal in Z.
21946
What do prime ideals in $k[x,y]$ look like?
27916
Are the determinantal ideals prime?
107463
Is an ideal which is maximal with respect to the property that it consists of zero divisors necessarily prime?
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
111114
Prove that an ideal in $k[x,y]$ is a prime ideal